Can I apply for a New Zealand visa as soon as I have just applied for an American visa?

There is no conflict between applying for a New Zealand visa and applying for an American visa. It doesn't matter. You can apply at the same time.

China citizens need to apply for a visa in advance to go to New Zealand.

New Zealand visas can be divided into visiting visas, student visas, work visas and immigrant visas according to the purpose of the visit.

Tourist visa: it is divided into one-time entry and multiple entry. Tourist visas allow holders to travel to new places, visit relatives and friends, study for a short time, participate in sports competitions and make short-term business visits.

Student visa: China citizens need to apply for a student visa if they want to study for more than three months. The study time is less than 3 months, and you only need to apply for a visit visa.