The WBC champion observed Joshua from ringside as the 2012 Olympic champion overcame a sixth-round knockdown to dramatically stop Klitschko in the 11th round at Wembley Stadium.
Wilder says that he would welcome a unification clash with Joshua, who now holds the IBF and WBA 'super' titles, and the American suggested he would come back to Britain after witnessing the 90,000 crowd.
"Like I said before, it's all about unification now," he told Sky Sports News after the bout. "I want to do my thing and go get those other belts.
"Every time I come over here I get much love, so if I had to come over here, I would come with open arms, without hesitation. At the end of the year, we have a mega fight. Winner takes all, considered the best man on the planet.
"I'm very comfortable over here. I love coming over here. Every time I come over here I get much love, so if I had to come over here, I would come with open arms, without hesitation."
Like Joshua, Wilder is unbeaten in his professional career.