The 38-year-old's comments come as the second-from-bottom Cottagers face the drop from the Premier League.
If Fulham do get relegated, there has been speculation Keller could return to America in the summer, but he would like to stay in London.
He told the Daily Star: "Of course it would be even better if we were still in the Premier League.
"But I wouldn't rule out staying if that weren't the case.
"I've spent most of my professional career in London and absolutely love it here.
"A couple of weeks ago we had a chat about the possibility of staying next season.
"But it would have to be later on before we got down to serious talks about that."
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