'The Cat' is coming off his second victory over Joshua and he has stated that he is not planning to return to the ring until next year.
With an undisputed fight off the table, for the time being, Fury is now in talks to fight AJ in December.
A rematch clause is included in the deal, so when asked who he could fight next, Usyk answered: "Deontay Wilder. [He] is a dangerous fighter, and that fight would most likely be in the United States," Usyk told The Ring Magazine.
Wilder returns to the ring on October 15 as he faces Robert Helenius. If 'The Bronze Bomber' wins, a bout against Usyk at the start of 2023 will be on the cards.
During the same interview, the two-weight world champion claimed that it is Fury's "fault" that they are not fighting next.
"I'm happy. I'm at home, but there's been only one change, I beat Joshua a second time," Usyk continued.
"Everything else is the same. I don't have many feelings about [Fury vs Joshua]. I don't really care if Fury wants to fight somebody.
"My team is working on getting me back in the ring. And no, no, I'm not p***ed off at all.
"The bigger problem is Tyson Fury is not letting fans see one of the best historical bouts in boxing history. That's his fault. Not mine. So, I'm not p***ed off at all.
"Tyson Fury can fight whoever he wants to fight. From the standpoint of sportsmanship, of course it's not correct."
Usyk's manager - Igas Kilmas - has also taken aim at Fury. He has argued that 'The Gypsy King' sees the Ukrainian as a "danger".
"Usyk is the heavyweight world champion and look how many statements Fury has made these last few months," Klimas added.
"He's retiring, he's not retiring, he's fighting Usyk, he's not Usyk, and now he's fighting Joshua, you really don't know what Fury is going to do next.
"If you look in his past at everything that happened, Fury always caused a problem when it came to getting an undisputed world champion. He's unpredictable.
"What happens when Joshua beats his a**? What will happen next? They will go to a rematch, which will push back the chance to have an undisputed world champion.
"I think Fury is most likely afraid of Usyk. Why does he run away from Usyk? Why? Because Fury sees danger in Usyk.
"Usyk wanted to fight Fury by the end of the year. You know what, we're not running after him. We have three belts. He has one belt.
"Who cares? It's a situation Fury created. Not Usyk. Usyk would fight Tyson Fury in his backyard. Usyk would fight anyone in their backyard.
"It was very important for Usyk to return to the Ukraine and to his people."