The two heavyweights will fight again on December 18 in Manchester.
Parker won via a split points decision when he and Chisora fought in May, which was also in Manchester.
The South Aucklander prevailed 116-111 and 115-113 on two of the three judges scorecards, but the other judge scored it 115-113 for Chisora.
The British veteran made his displeasure with the decision clear afetr the fight and immediately demanded a rematch.
Parker, the former WBO world champion, is on a five-fight winning streak and will head back to the UK soon to rejoin new trainer Andy Lee.
The streak takes his record to 29-2, with 21 knockouts, while Chisora fell to 32-11 after defeat in their first bout.
Source:
RNZ Sports