Higgins and Parker have stated that their final non-negotiable offer for the unification should be 65/35 in favour of Joshua, with Parker lowing his figure by 15% in recent weeks since talks surrounding the fight developed.
However, Parker's promoter David Higgins has stressed that they are now ready to compromise in order to finalise an agreement.
Parker and Higgins also offered to pay fans for any more footage of Joshua being floored after presenting the assembled media a video of the Brit being rocked in previous fights.
Eddie Hearn has fired back at David Higgins who handles WBO heavyweight world title holder Joseph Parker following this Morning's (gmt) press conference conducted by Higgins and Parker. This demonstrates we genuinely want to unify and will put it all on the line.
"It's our final bottom line decision", Higgins emphasised of the 35 per cent split they were prepared to take.
"The deal must be open book revenue share", Higgins said.
"We feel anything less than 35 per cent is not only disrespectful to Joseph Parker, but also a disgrace".
"We want to make the fight happen, we are not all hype. Around the two-third one-third seems a natural justice".
The highlight of the unique press conference was perhaps the moment that they showed the world there compilation video of Anthony Joshua getting dropped as an amateur and pro.
To make matters worse, it took Team Parker several minutes to turn on the film, while signs and microphones both fell down during the press conference.
"We want to make the fight happen, we are not all hype. I'm staying in shape in case it happens".
"Our message to Anthony Joshua - and it's a serious message - is we want the opportunity to test your chin so much that we'll let you keep 65 per cent of the profit, even though it's an intercontinental unification".
But Team Parker believe "there are bound to be more people who have dropped Joshua" and have offered fans a gift if they can provide further evidence of the British fighter's frailities.