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Rex Features
The 37-year-old told MTV News that he loves the direction that filmmaker Christopher Nolan has steered the franchise in with Batman Begins and follow-up The Dark Knight.
Cook stated that his performance of the villain would be akin to what late actor Heath Ledger did with his Oscar-winning portrayal of the Joker.
He said: "If they brought back the Riddler - a new Riddler the way they did with the Joker that would be badass. I would do that."
He added: "When they were making the new one and they were doing the Joker, I always thought it [should be] kind of like The Crow - having that dark element but still comedic.
"[My performance] would probably have to be something in that vein, even though I think what Heath Ledger did with the Joker was the greatest comic book villain ever."
Johnny Depp previously admitted that he is intrigued by the part of the Riddler.
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