New Zealand Law
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The place to see if you are eligible is through Immigration New Zealand and you will need to see if you qualify on the skill shortage list. I suggest you look at this first and then ask further questions on this page.
You could also then make a phone call.
You would need to apply for a work visa first and then apply for permananet residency. You would need a job offer from a New Zealand employer and provide the usual evidence of good health and a police check.