In early August, Boult withdrew from the contract in order to make time for his family and various T20 leagues. The 33-year-old was then named as one of 12 marquee players for Australia's Big Bash League, which takes place from 13 December to 28 January 2023.
As such, he will already miss the Black Caps' tour to Pakistan. However, he could be in the selection mix for the two-Test series against England in February 2023, one of which is at Boult's home ground in Mount Maunganui.
"I'm fully aware that with the decision I made to give that contract back, it's going to affect that selection," Boult told ESPN's cricinfo.com.
"I'm taking it almost week by week really. There's a lot of cricket to be played before then. I know the next series is in Pakistan and then at my home ground [Bay Oval in Mount Maunganui] against England in the new year, but it's too far away to tell. I'm going to leave that with New Zealand Cricket and respect their decision."
Boult also opened up about wanting to spend time with his burgeoning family.
"Without getting too financially specific, I'd be more able to bring them on tour [when playing T20 leagues]," continued the right-arm seamer.
"I've got three young boys that only see dad for eight weeks a year at the current moment. If I don't play any international cricket - obviously I still want to - then that might be a couple of leagues a year and 10 months at home rather than the other way around. I'm not getting too far ahead - it's a hard one to forecast at the moment."