WELLINGTON, New Zealand — The two politicians started their conversation casually, but there was serious business at hand: a donation recently deposited into a party account from a wealthy businessman, which one of the lawmakers said totaled 100,000 New Zealand dollars.The reported size of the donation, about $66,000, was large by New Zealand standards. But the cash, the lawmaker says, came with strings attached — a promise to add the names of two businessmen to a list of candidates for Parliament — and a plan to disguise the identity of the donor, a man with deep pockets and well-documented connections to the Chinese Communist Party.The conversation, a recording of which was leaked last week, is the latest in a series of scandals that suggest New Zealand is vulnerable to political interference at a time when China is seeking greater influence throughout the Pacific.New Zealand is often portrayed as a progressive paradise far removed from the rest of the world, but it plays an important role in the Five Eyes network, an alliance of Western intelligence agencies assigned to listen in on communications worldwide. Similar concerns were raised last year when it was revealed that Jian Yang, a Chinese-born lawmaker and member of the National Party, had taught at a Chinese spy academy. Mr. Yang denied being a spy himself and remains in Parliament.Analysts and allies fear that China can buy influence on the cheap and without raising alarms in New Zealand’s political system, which they say has weak rules about lobbying, by channeling money through small, anonymous donations.Political donations, said Miguel Martin, a commentator who writes about China under the pseudonym Jichang Lulu, are an expedient way for the Communist Party to acquire “an avenue of influence on that country’s policy.”Others said politicians at the local and national levels and from every party are desperate for funding, and therefore potentially easy prey.“There’s kind of a ‘let the good times roll’ aspect with politicians in New Zealand, where historically money has been hard to come by and parties — by global standards — don’t have much of a budget at all,” said Rodney Jones, a New Zealand economist based in Beijing.While contributions made directly from foreigners could raise red flags, Mr. Jones said, donations from some wealthy, Chinese-born New Zealanders with connections to the Chinese Communist Party are delivered to politicians “on a platter.” It is in the politicians’ self-interest, he added, not to ask any too many questions about where the money originated.The conversation leaked last week between the leader of New Zealand’s largest opposition party and a once-trusted lawmaker has prompted a national discussion about whether New Zealand should tighten its campaign finance rules, or introduce a registry of lobbyists like those in the United States and Australia.Jami Lee Ross, a member of the center-right National Party, accused the party’s leader, Simon Bridges, of fraud by trying to disguise a 100,000 New Zealand dollar donation as smaller, anonymous donations.By law, the identities of contributors who donate less than 15,000 New Zealand dollars are allowed to remain anonymous.Mr. Ross turned over to the police, and made public online, a phone call he had secretly taped with Mr. Bridges in June, in which the pair discussed a donation from the businessman, Yikun Zhang. The recording did not contain clear evidence that Mr. Bridges had asked for the donation to be broken up, and Mr. Bridges has denied doing so. The police are investigating whether the National Party failed to declare a donation from Mr. Zhang.The National Party has said it did nothing illegal, but has yet to explain how the donation discussed in the call was handled.The mention of Mr. Zhang piqued the interest of China analysts, who said the businessman had known ties to the Chinese Communist Party.Mr. Zhang served in the People’s Liberation Army and headed a provincial consultative group for the Communist Party before emigrating to New Zealand in 2000. His “entire life is in the shadow of the Communist Party,” said Chen Weijian, a member of the pro-democracy group New Zealand Values Alliance.Mr. Zhang is chairman of the influential Chao Shan General Association of New Zealand, an organization started in 2014 for New Zealanders born in the Chinese town of Chaosan, but which has become an important intermediary between China and New Zealand. He plans to host 1,000 Chinese visitors at a business conference next year in Auckland, the country’s largest city.Mr. Zhang’s “positions and relationships” gave the Chinese Communist Party “leverage enabling it to ‘guide’ or simply expect individuals like Zhang to be aligned with the CCP’s policy goals,” said Mr. Martin.Mr. Zhang has appeared in news photographs with both opposition lawmakers and those in the government, including Prime Minister Jacinda Ardern.Ms. Ardern this week defended the electoral donation system, and said the country’s politics were transparent and free from foreign interference.Mr. Zhang has also attended a fund-raising auction for Phil Goff, the mayor of Auckland, and is currently traveling in China with another New Zealand mayor.It is Mr. Zhang’s second trip to China with that mayor, Gary Tong of Southland.Representatives for both the Labour and National parties did not respond to questions about whether they intended to investigate the foreign political connections of their donors, and the law does not require them to do so.While politicians cannot accept large donations from foreigners, some analysts said lawmakers should be more savvy about where their money comes from.Anne-Marie Brady, a Canterbury University professor who published a paper about what she called China’s global blueprint for influencing Western democracies, told Radio New Zealand that the government should consider reforming rules around electoral finance, conflicts of interests, and “whether it’s O.K. to be a member of a New Zealand political party and a foreign political party.”(The New Zealand police and Interpol are investigating a burglary of Ms. Brady’s home in February, which she believes was carried out by agents linked to Beijing.)In the leaked recording between the two lawmakers, Mr. Ross reminds Mr. Bridges that he had also discussed with Mr. Zhang a potential political “candidacy” for two of his New Zealand-Chinese business associates. In New Zealand, some lawmakers campaign for seats representing a local constituency, while others are selected for Parliament by their political parties, and do not have to run for office.“Two MPs, yeah,” Mr. Bridges can be heard responding, in a reference to members of Parliament. Mr. Bridges said last week that he had not been promising candidates for cash.China is New Zealand’s biggest trading partner and New Zealand is hoping to expand a free-trade agreement signed in 2008.New Zealand is not the only country wrestling with issues of China’s reach. Australia in June approved a sweeping national security law that, among other things, requires foreign lobbyists to register on a public list. New Zealand, on the other hand, does not require domestic or foreign lobbyists to register.Australia’s law was prompted by revelations that two businessmen of Chinese descent had donated millions across the political spectrum.Mr. Ross, the lawmaker who released the recorded call, both resigned and was expelled from the National party last Tuesday, but maintained on Friday that he would remain in Parliament as New Zealand’s only independent lawmaker.Soon after Mr. Ross levied his accusations, the website Newsroom published claims from six women who were former partners, employees or colleagues of Mr. Ross and said he had subjected them to bullying and intimidation over several years. Mr. Ross disputed those accounts, but admitted to having had affairs.On Sunday, the local news media reported he had been admitted to a hospital for mental health treatment. He was discharged on Tuesday.