Arthur, who turned 40 this year, has been coaching the South Africans since the last three years, and has helped the South Africa rise to top spot in the ICC one-day rankings. Given his success, including a recent historic test series win in England, the fact he would even consider leaving his South Africa post for New Zealand demonstrates how tenuous the position of head coach at the country ranked second in both test and one-day cricket can be.
It is also believed NZC will also interview Australian Matthew Mott; Englishman Andy Moles, currently the Northern Districts coach; Dipak Patel; and Arthur's compatriot Graham Ford, who is coaching Kent.
Victoria coach Greg Shipperd, endorsed by captain Daniel Vettori, withdrew his interest and John Wright is understood to have declined the opportunity to apply.
However, NZC chief executive Justin Vaughan, in Dubai last week at an ICC meeting, refused to confirm Arthur's interest in coaching New Zealand.