Stead has come under the scanner for taking a 'pre-planned' leave during the India series.
Apart from Kane Williamson, top-order batsman Henry Nicholls and spinner Mitchell Santner are also suffering from illness.
Steve Smith was dismissed by Neil Wagner in both the innings of Perth Test.
The duo missed the Hamilton Test due to injuries.
The World Cup final ended in a bizarre manner, England tied with New Zealand and had to play a super over which was again tied, but the hosts won by the virtue of more number of boundaries hit.
Stead also expressed his disappointment that some of the New Zealand players haven’t played more cricket in the lead up to the World Cup.
Only once in 2016, his batting average touched 34. But that's it.
"It was nice and something I enjoy doing."
"It's not that we can't play spin bowling."
The hosts have gone in with an unchanged squad from the Australia series.