It appears a rematch with Zhang may not be the Kiwi heavyweight's next date in the ring.
It comes after his majority decision victory over China's Zhilei Zhang.
Parker was knocked down twice but was the far more active fighter throughout.
The winner will walk away with the WBO interim heavyweight title.
The former world champion has faced - and lost to - his rival before, as an amateur.
Kiwi David Nyika was scheduled to meet an unconfirmed opponent on the undercard.
The rivals will face off on the undercard of Anthony Joshua v Francis Ngannou at Riyadh in March.
Filip Hrgovic insists he's ready to take on the surging Kiwi heavyweight on March's Joshua-Ngannou undercard.
The Kiwi has outlined he wants to fight again in March, but is yet to find an opponent.
The 31-year-old touched down in Auckland on Tuesday after his career-defining win in Saudi Arabia.
The Kiwi's win in Saudi Arabia has sent him back to the top of the heavyweight division.
The win puts the Kiwi back among the heavyweight division's biggest names.
The former world heavyweight champion is back on the radar, with a shock victory over American Deontay Wilder.
The former world champion took all 12 rounds against the 'Bronze Bomber'.
The win will propel the Kiwi back into title contention.
The Kiwi weighed in at 111kg for Sunday's bout in Saudi Arabia.
Andy Lee helped cousin Tyson Fury to previous victories over American Deontay Wilder.
The former world champions are battling to keep their future title hopes alive at Riyadh.
Tyson Fury can boast a draw and two wins over 'The Bronze Bomber' during their trilogy series.
'The Bronze Bomber' believes Joseph Parker isn't getting enough respect heading into their bout this weekend.
