What is the Air New Zealand Customer Service contact number? Jun 25, 2020 10:38:56 GMT Quote Select PostDeselect PostLink to PostMemberGive GiftBack to Top Post by michealsmith on Jun 25, 2020 10:38:56 GMT The Air New Zealand Customer Service contact number is +1-866-807-3747 and the best part is that the number is accessible in many native languages with a time frame of 24/7.