If the man has a green card in New Zealand, can his wife apply for a green card?

Of course. But it takes a little longer. Marrying a citizen or permanent resident is one of the shortcuts to apply for a green card. Applicants who get a green card by marrying citizens or permanent residents can only get a temporary green card (also known as a conditional green card) with a validity period of two years if they have not been married for two years at the time of immigration interview or when they enter the United States with a marriage immigration visa (K visa). Although under normal circumstances, the Immigration Bureau rarely takes the initiative to cancel the applicant's temporary green card, the applicant must submit a formal green card application, I-75 1, 90 days before the second anniversary of the approval date of the temporary green card, in order to cancel the two-year validity condition of the temporary green card and obtain a ten-year valid green card.