"There's no way to play the history of the character played by other people," he told IGN Movies, "unless you do some kind of wink, but that doesn't seem like a responsible way to act."
He said it's up to the creators of the movie to determine just how different the character will be compared to previous incarnations of Lex Luthor.
"It'll definitely be played by a different person," Eisenberg added.
Eisenberg is perhaps best known for smaller, indie roles, so it may have come as a surprise to some that he'd be cast in a large comic book movie.
He said that since the character is "really good," it won't be that much of a stretch for him.
"They make a lot of those movies, so if you're an actor in things, you will probably cross paths with it at some point. But the character's written really well. It's a really great role. The fact that it's in a big movie, you know, it seems like a character that would be in any kind of movie. It just happens to be in a bigger, flashier kind of thing," he said.