Worker smashed 62 off 38 as New Zealand posted 198/5, before the hosts limped to 118 for eight to lose by 80 runs.
South Africa will travel to New Zealand later this month to play three ODIs and two T20Is.
Guptill and Latham scored centuries each as New Zealand thumped Zimbabwe by 10 wickets in the 2nd ODI to level series.
Ervine scored 130 not out off 108 balls as Zimbabwe made 304 for three, reaching their target with five balls to spare.
Left-arm orthodox Rajeshwari Gayakwad was the pick of the Indian bowlers with figures of 3/17.
India womens defeated New Zealand 3-2 in the five-match ODI series.
Fast-medium bowler Doug Bracewell has also been added to the list after impressing Hesson on the tour of England.
Ekta Rana and Harmanpreet Kaur, dwindled New Zealand batting order by scalping two each.
McCullum will sit out from next month’s limited overs tour of Zimbabwe and South Africa, citing a busy schedule.
Root scored 68 runs off 46 balls, including eight fours and a six as England won by 56 runs.
In a rain-affected game, Bairstow’s classy knock of 81* helped England chase down a revised total of 192 from 26 overs.
The New Zealand coach feels that the series against England has been a good learning experience for his team.
Morgan (113), Root (106*) after Hales opening blitz help England chase record target with 6 overs to spare.
NZ chase down England’s 302 after Taylor (118) and Williamson (110) stitched together 206-run stand.
Trent Boult took 13 wickets at the rate of 24.84 in the Test against England.