I'm not quite sure that I understand your query.
But if I am reading it correctly, you aren't a NZ citizen?
If you wish to apply for a CoR to recognise your NZ ticket then you would just go about it the same way as if it was any other foreign certificate. AMSA won't issue this unless you have permanent residency or Temporary residency with work rights, or be a NZ Citizen.
You can make all of the arrangements to apply for a CoR, but you will not receive this until you prove that you've been granted a visa.