The unification title fight is set to take place at Principality Stadium in Cardiff on April 1 (NZ time).
The fighters' respective promotions, Matchroom Boxing and Duco Events, have been locked in negotiations since the end of previous year, with the purse split the largest obstacle that needed to be hurdled.
Higgins also revealed that Parker remains in New Zealand while he tries to finalise a deal for the two to meet in the ring.
Josh the ticket Who is Anthony Joshua?
"We feel otherwise. You're going to see a lot of fireworks this press conference".
David Higgins, Parker's promoter, has been in London for several days negotiating with Joshua's representative Eddie Hearn, and Parker was this afternoon scheduled to fly to England's capital with Duco Events' communications director Craig Stanaway. Who says Anthony Joshua could be with Matchroom in seven months' time?
US launches airstrike after apparent insider attack in Afghanistan
At the end of the meeting "multiple members of the insurgent group" started shooting, killing the militia leader and wounding the United States soldier and interpreter.
He said there had been difficulties in organising a U.S. fight "so we're looking to bring the other guy Joseph Parker, who is a tidy champion".
And Hearn recently outlined Joshua's plan for the year, which involved beating Parker before taking on Wilder in an attempt to hold all four heavyweight belts.
"Joshua's pure aim is to become undisputed heavyweight champion of the world". Wilder AJ Parker Charr watch out as the boggy (sic) man is coming for you!
"The Wilder fight is in dreamland at the moment, with his demands".
This could very well make sense for him in a comeback fight and he'd enjoy significant height and reach advantages over Charr too. He's not going to scare me physically - I think we've got under his skin mentally to this point, so I'm looking forward to being there and seeing how things go and what the result is.