"That was part of [what was discussed] when I came in because we all had suspicion that Simon might leave," DeGeneres told TV Guide.
"Nobody knew for sure, but we made sure that I'd have a big [say], because that's important to me."
Speculation as to who will replace Cowell has been a hot topic since his impending departure was announced, and it was reported last month that American Idolhad approached shock jock Howard Stern after hearing his repeated on-air mentions that he's "open to other offers" once his Sirius XM Radio deal expires next year.
"No one knows where that came from," she told TV Guide. "There was a Tommy Mottola rumor, too, and that was completely false."
One rumored replacement that DeGeneres wouldn't be completely opposed to is Madonna's manager Guy Oseary.
"Guy is a friend of mine, and I think Guy would be great," she told TV Guide.
"I just don't know if that's a name that... we want to be really careful. I don't know that we're gonna be able to announce anybody real soon."
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