Xenophobia
No, unless an employer can objectively justify that it is essential for the job.
Otherwise the requirement for New Zealand experience may well amount to indirect discrimination.
Can an employer refuse to employ me because I don’t speak English with a New Zealand accent?
No, provided the job applicant can be clearly understood. A New Zealand accent is unlikely to be considered a genuine occupational qualification except in rare circumstances.
In November 2007 an Employment Tribunal in the UK found that an Indian-born British man who worked in a call centre had been discriminated against when he was dismissed because his accent “wasn’t English enough”.
see also » Migrants