Joshua holds the IBF, WBO and WBA belts and any bout between the two would unify the heavyweight division.
The 29-year-old is yet to confirm an opponent for his next fight on 13 April at Wembley Stadium, with his promoter Eddie Hearn saying “it comes down to what Wilder wants to do”.
“I’ve booked the date in advance, booked the venue in advance. I want to make my point clear in front of everyone – I’m willing to fight any one of these guys, especially the champion Deontay Wilder
“I’m the one leading the pack since I made my debut. Five years in, several title defences and I’m running the game. I mean business. I don’t know what more I need to do to get that message across to the world. I can handle my business and I’m willing to do that in the ring.”