Joshua registered a brutal seventh-round knockout victory over Alexander Povetkin last night at Wembley.
The Russian challenger began brightly, ambushing Joshua with left hooks and overhand rights.
The heavyweight champion was wobbled at the end of the first and second rounds, but grew into the fight by utilising his rangy jab.
AJ’s strategy eventually prevailed just over 20 minutes into the fight, when he landed a fierce left-right combination which flattened his 39-year-old opponent.
After stumbling back to his feet, Povetkin was then backed onto the ropes and Joshua teed off, prompting the referee’s intervention.
Eddie Hearn, Joshua’s promoter, has booked the national stadium once more on April 13 for the 28-year-old’s next fight.
It is likely the suitor will be the winner of Wilder vs Fury, which is set to take place on December 1, although no venue has yet been announced.
In his post-fight ring interview, Joshua revealed that Wilder was his preference after the pair failed to agree terms in the summer.
Upon leaving Wembley in the early hours of Sunday morning, the heavyweight gave further context to his words.
“Yeah, [I want Wilder next]. Even if he lost I’d still fight him,” he told Kugan Cassius of iFL TV.
“He’s a big name and people do want to see it anyway. I’d still fight him, yeah.”
However, the WBO, WBA and IBF title-holder also added: “Until the contract’s signed I don’t really focus on people… I focus on what’s real.
“Good luck to Fury, good luck to Wilder – it’s a good fight for both of them.”
On criticism from Fury despite the win, Joshua said: “Fury should just take a leaf from my book and focus on Wilder – no-one else.
“He’ll do a good job that way.
“Focus on other stuff and you get distracted. But maybe he’s got his game plan and that’d his remedy.”