"At the time we scheduled the visit there was a lot of hope that the transtasman border would be open for those who met the right criteria.
"However, the advent of Omicron has, unfortunately, changed everything at the border, and has made it impossible for us to continue with the series.
"It's disappointing - but we know it's the same for businesses and individuals and other sports, and we're grateful for the international schedule we have."
White noted the series was a late addition to the New Zealand summer schedule and expressed his thanks to CA for their support, and their attempts to assist with the season.
The remainder of the home international summer remains unaffected.
The White Ferns start their series against India this afternoon with a T20 in Queenstown; the South Africa men's squad is currently in MIQ in Christchurch and training in preparation for the first Test at Hagley Oval, starting on February 17; and the Netherlands are locked and loaded for their white ball series against the Black Caps next month.