It's now emerged that Wilder is happy to go ahead with the fight, volunteering to take Joshua on in London this summer.
'I accept that challenge and I am ready to come to the United Kingdom for my next fight.
"We want to make it public that Deontay wants the fight..."
Parker said he learned a lot from his bout with Joshua and vowed to come back stronger with discussions scheduled to take place in the next fortnight on where, when and who the Kiwi fighter would fight next.
Joshua and Miller would be headlining on Showtime, who are the premier rights holder's for Joshua's bout in the U.S. It is only a possibility of this happening due to promoter Eddie Hearn's previous stance on this particular bout.
A bout in the US has also been touted for Anthony, mainly surrounding the highly ranked Jarrell Miller of the U.S. Ultimately this bout would be seen by many as a showcase for the unified world champion in the U.S, a territory which Joshua is yet to fight in as a professional. On Saturday, England's Joshua won a unanimous decision against Joseph Parker in Cardiff, Wales to unify the other three major belts.
Wilder holds the WBC version and has already thrown down the gauntlet to Joshua.
"Thanks, Anthony. I can't wait to meet you in the ring".
But some Nigerian sports lovers advised Joshua not to go to Las Vegas for the fight against Deontey, but want him to remain in England.
"First of all, I want to congratulate Anthony Joshua on his win last Saturday night", Wilder said in an email to the media.
Following his victory over New Zealander, Parker, Joshua said: 'Are you asking me if I want to become undisputed champion of the world? He's a superstar on the level of Sugar Ray Leonard, Mike Tyson, Oscar De La Hoya, Floyd Mayweather and Manny Pacquiao, and all he needs to do is instruct Hearn that he wants Wilder.
Anthony Joshua swings with his left against Joseph Parker in Cardiff. What he did instead was fire multiple jabs at Joshua when he inched forward, not so much to hit him but more with the intent of impeding his aggression and keeping him at range. Beyond Wilder and Povetkin, the most unsafe tests are rematches against Parker and British rival Dillian Whyte.