And there appeared to be a willingness to find a middle ground by both parties - suggesting a unification fight between the pair in March or April was a distinct possibility.
"I'm not sure what Parker was told, but his tweet was incorrect," Hearn told Sky Sports in the UK. "They haven't even replied to my offer, other than via tweets. We are not interested in the he-said, she-said.
"If they want to make the fight, then they should come off social media and pick up the phone."
Hearn added: "I'm encouraging them to open dialogue to see if we can find middle ground.
"We have spoken [on Wednesday] and made our positions clear. There isn't middle ground at the moment but that can change. This is a fight we want."
Parker's promoter David Higgins told Sky Sports: "We have heard rumours about what Charles Martin was paid. Joseph has said he was offered less than half.
"We've had clarification from Eddie. It was actually a little bit more than half that Eddie offered, but still how can Charles Martin be worth nearly double a unification against an unbeaten world champion named Joseph Parker?"
Higgins insists he could slightly soften his stance of "not a cent less" than a 40-60 split in Joshua's favour, but wants to work with Hearn.
"Yes, absolutely, but it's got to improve a lot," he said. "You never say never, but not a lot [less]. We should work together.
"We want a more collaborative, open-book approach, rather than pay us off with a low fixed fee and we don't know what the revenues are.
"The world wants to see it, we want it, but we won't accept it for what we think is an unfair deal.
"His [Parker's] frame of mind, we are very aligned, our camp. He wants to fight Joshua, but he knows the deal is not what it should be.
"Joseph Parker's message to Anthony Joshua is: 'I want to fight you. I think I'll win, but I want a fair portion of the pie. It's a big pie and let's share it fairly'."
Another who believes the fight would be a competitive one is world-renowned ring announcer Michael Buffer, the American tweeting this morning: "This would be a better match than many say Joe is underestimated he can bang + we'd b closer to a unified title & that's what we all want!"
