People who have come to New Zealand to visit can use planes to go home. No one else can fly out of New Zealand during alert level 4.
You should not go to the airport unless you have a ticket. If you don’t have a ticket or cannot buy a ticket, then you need to call your embassy.
If you need more information on your visa or want to get your visa extended, you can contact Immigration New Zealand.
You can call the Immigration Contact Centre from 6:00 am Monday to midnight on Saturday (NZT).
Contact Centre (Toll-free from NZ landlines only): 0508 558 855
Auckland: 09 914 4100
Wellington: 04 910 9915
Rest of the world: +64 9 914 4100
Or visit their website which is: https://www.immigration.govt.nz/