The Matchroom promoter also had plans to secure a fight with Parker during 2018 but Joshua has this week suggested he would not fight both champions and Tyson Fury all within the next 12 months. Higgins says he's happy to let that progress and Parker, the WBO champion, can come into the unification frame after that.
But Higgins told Sky Sports on Monday he had all but given up on a unification bout after receiving a "ridiculously low offer" from Hearn.
"He made the most ridiculously low offer".
"I reckon Eddie respects boxing and I reckon Anthony Joshua wouldn't want to insult Joseph Parker".
Higgins added his company Duco Events had received more money from a city or government willing to host an event than what Hearn was offering. There's a long way to go until the pair meet but Eddie Hearn has been talking about where it might be. I reckon someone hacked his account, it was a scam.
"Joseph has earned the right".
Joshua's promoters have also been in talks with American Deontay Wilder, who knocked down Bermane Stiverne three times in the opening round to defend his WBC heavyweight title in NY on Saturday.
"I'll give you a simple answer".
"They pay us 40 per cent and not a cent less, or they will fight Wilder, who will obviously win and then we'll fight Wilder 50-50".
"I hope people don't make this as awkward as they want it to be, if they're realistic about what they want we can definitely make this fight happen".
When asked about facing Wilder, Joshua told Dubai Eye 103.8: "Yeah, why not?"
Parker last fought earlier this year in a defence of his title against Hughie Fury in Manchester.
Higgins, for his part, has said he will not even dignify Hearn's offer with a response and indicated that his fighter could now pursue other avenues - with a fight with Australia's Lucas Browne among those being touted. He's had an interesting career, and in reality after 40 fights and nine to 10 years in the game, is trying to have one significant fight and trying to use that as a fight to sum up his own career.