Is there a job in traditional Chinese medicine in New Zealand? Or is Chinese medicine popular there?

Yes, but only for a few customers in China. Chinese medicine is not recognized in western countries such as Europe and America, and only massage and acupuncture can be accepted in the west. The so-called Chinese medicine is not certified by the government, but regulated and managed by the Chinese Medicine Association organized by China people themselves. If you take the massage road, it is still very popular with foreigners, because everyone has benefits for massage therapy, but you need to apply for a massage license again in the local area.

Work visa can be done, but you need to find the employer and provide the employment certificate to the immigration bureau.

Some countries are preparing calendars of traditional Chinese medicine (such as Canada), but they are still limited to massage and acupuncture.