Price, 33, is awaiting news of a possible fight with Parker on the Anthony Joshua undercard set for Manchester on November 26, whilst the New Zealander is scheduled to return on October 1 in Auckland.
Parker had agreed to face Dimintrenko before the opportunity of a possible UK clash with Price materialized and the Merseysider believes there is still a case for Joshua’s mandatory to reconsider next month’s scheduled battle.
“I don’t want to give his promoter ideas but I really don’t see the point of fighting Dimitrenko when he’s got a big fight on the Joshua bill,” Price exclusively told World Boxing News.
“If Parker’s fighting Dimintrenko and then me in a period of six to eight weeks that’s a demanding schedule. He’s already had a tough year. I think he’s fought three times already this year and those training camps will take it out of you.”
Asked where he would stand should Dimitrenko pull off a shock win over Parker, Price told WBN he would only be interested in a high-profile contest on the Manchester Arena bill.
“If I do still fight on the bill it’s going to have to be in a good fight,” he outlined.
“I can see what Eddie Hearn is trying to do by making it a big ‘night of the giants’ with all the heavyweights so I don’t want to be going on there and just fighting anybody. It has to be against somebody with a name.
“Either way, I’m going to be fighting in October, anyway as I need a warm-up or two before any big fight,” added Price.