Fury claimed that he could beat the Brit with "one hand" and has kept the suspense up in the world of boxing as to whether or not he could jump back into the ring to face the 27-year-old giant.
The British boxer took on Wladimir Klitschko at Wembley Stadium in front of more than 90,000 fans.
"When i dropped Klitschko that roar (from the crowd) lifted my arms up as well".
Klitschko inflicted a first knockdown of Joshua's career with a devastating right hand in the sixth round of Saturday's clash, but in the 11th the Ukrainian suffered his second and third knockdowns of the fight before being stopped on his feet - potentially reducing his desire for a rematch.
Kubrat Pulev is the mandatory challenger for Joshua's IBF heavyweight title while Luis Ortiz finds himself next in line for the WBA (super) title.
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Joshua and Fury have both indulged in posturing regarding a showdown in the aftermath of the former's victory over Klitschko, although Hearn has ruled out the fight's potential for the foreseeable future.
"I don't mind fighting him again, if he wants the rematch", said Joshua in the post-fight press conference. "He could easily be the first billionaire in boxing", he said.
He said: "I was screaming [and] pulling what little hair I've got left out [but Joshua] showed a lot in that fight".
Hearn added that Joshua has to keep winning to ensure his brand becomes even more marketable and, even more interestingly, Showtime, the American TV company with whom Joshua has signed a multi fight deal with, now envisage the heavyweight champion's future being primarily based in the United States. I wish I would [have] raised my hand instead of being someone that didn't make it and win the titles back. "Moving into the last six I thought "alright, let me get my energy back". He'd have to have a series of fights in Las Vegas or Madison Square Garden in NY - the whole shooting match.
"I have heard and seen people talking and it seems like it is heading in that direction", he told Sky Sports.