"There are a few things that have to get done, but it's a great fight and why not do it now?"
Parker's promoter Dean Lonergan told the Herald today: "There's been no deal signed or done in terms of whether we fight [David] Price on November 26 or Anthony Joshua, assuming we get past Dimitrenko. As it has been for the last month and a half, discussions are ongoing and a certain path is preferred, but if they can't tie an opponent down we'll make Joseph ready to go."
But hopes of a title fight for Parker looked to have have changed overnight with Hearn having 'reached out' to Klitschko's camp, after the Ukrainian once again saw his world heavyweight title rematch with Fury postponed.
The Klitschko vs Fury rematch was due to take place on October 29, but was called off on Saturday after the Fury was deemed 'medically unfit' to fight, with reports in the United States suggesting the withdrawal is due to mental health issues.
Joshua, who holds the IBF heavyweight title stripped from Fury last year, is scheduled to defend his belt on November 26 but has yet to have an opponent confirmed.
But Hearn is keen for his man to face Klitschko, and took to Twitter to reveal he has 'reached out' to the Ukrainian's camp in a bid to make the fight happen.
In reply to a suggestion from ESPN boxing writer Dan Rafael, Hearn wrote "Reached out to @Klitschko team - we love the fight!"
For Parker, if he re-claims the mandatory challenger status with a win over Dimitrenko then he could potentially face the winner of a Joshua-Klitschko fight.
Hearn told Sky Sports News: "From our side, if Wladimir Klitschko against Anthony Joshua can be made for the WBA and the IBF belts, for November 26, we are taking that fight, no question.
"But, as always in boxing it's a very complicated process, there's so much that needs to happen and I don't feel like they'll strip Tyson Fury just yet. I hope they don't, because we want the winner of that fight, Fury against Klitschko.
"We want to fight Tyson Fury really, that's a unification fight between two Brits in the heavyweight division, that's never happened before and it'll never again."
The bout could be a solution for a frustrated Klitschko, with manager Bernd Boente claiming his fighter is "being held hostage" by Fury.
The October postponement is the second time the former champion has been denied the chance to regain the WBO, WBA (Super) and IBO belts he lost to Fury in November 2015, after the original staging of the rematch was postponed due to the Gypsy King suffering an ankle injury.
The delay, which could see Fury stripped of his WBO and WBA titles due to his inability to defend them inside a year, has frustrated the Klitschko camp who are keen to avenge a first defeat in more than six years.
"Wladimir is totally disappointed that the guy postponed again," manager Boente told ESPN.com.
"Wladimir is being held hostage by this guy. He wants to fight, he trains, and now the first fight is almost a year ago.
"It's up to the governing bodies to make a decision regarding the titles, but that is not in our hands. We hope Wladimir can fight again soon."
Sources close to the fight maintained that it is a postponement rather than a cancellation, though it remains to be seen if the rematch will ever now happen.
Frank Warren, whose BoxNation channel was due to broadcast the fight, told the Daily Mail: "The fight has been postponed but will be rescheduled.
"I'm disappointed for Tyson, for Wladimir and for the fans."
Fury won the titles last November but was quickly and controversially stripped of the IBF title, which was vacated and won by Anthony Joshua in a fight with Charles Martin. With this latest postponement, the possibility is raised that Fury might now be stripped of his WBA Super and WBO belts.
While this situation is ongoing, Fury must also address a UK anti-doping probe after he allegedly failed a drugs test.
Fury has strenuously denied any wrongdoing.
