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The Public Enemies star, who was first linked to the iconic role last year, told MTV News that he would be interested in exploring the character.
"If the opportunity came, I'd definitely juggle it. I always liked the Riddler," he said.
"I always liked Frank Gorshin. Frank Gorshin was brilliant. I always thought he was a great actor."
His Public Enemies co-star Christian Bale, who starred in last year's The Dark Knight, added that while he is an admirer of Depp's work, the decision would ultimately rest with the movie's director.
"I think he's a wonderful actor, and I think he could achieve that greatly, but I'm not the man to ask," he said.
Public Enemies will arrive in cinemas next month.
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