Povetkin, 39, wobbled Joshua at the end of round one and the champion's nose was oozing blood in the second as he struggled with the Russian veteran's rumbling and relentless attacks.
Wilder said in a video posted to his Instagram account that he just defeated one of the best heavyweights in the world in Luis Ortiz earlier this year and that he's now coming for the next best fighter in the division.
"He proved that with good left hooks, counter punches".
"We will go away now and try and make a fight with Wilder", Hearn said.
'Tonight was about getting that big banana skin of Alexander Povetkin out the way.
"Let's figure out what's happening on April 13", said Joshua.
"Deontay Wilder, you're going to get it, mate".
After struggling in the first two rounds, Joshua took control of the fight in the third, and as the rounds wore on it became increasingly clear that there was only going to be one victor.
"Anthony Joshua and his team cannot look past this fight and can definitely not take Povetkin for granted".
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A previously close contest turned in Joshua's favour decisively when he sent the Russian crashing to the canvas with a straight right hand and left hook.
Joshua, 28, had a significant height and reach advantage of several inches over Povetkin.
By fighting Joshua, Povetkin is ultimately risking never fighting again, and asked about his streak of damaging careers, Joshua told Press Association Sport: "It does happen, it's a tough game".
But Povetkin could do nothing to repel the punches that rained down on him in the deciding seventh round.
And as he was handed a microphone for a post-fight interview, Joshua revealed his number one target for his next fight - April 13 at Wembley - is Wilder, the man who has so far evaded his clutches.