The England striker has been linked with a White Hart Lane departure for much of the summer, with Stoke City showing plenty of interest, and Redknapp says he will allow him to leave if the player wants to.
"There are few clubs that want him, but we'll have to wait and see with that one," the Spurs manager told Sky Sports News.
"It's up to Crouchy. I have had Peter at a few clubs and he's a good player, great guy, but I suppose with (Emmanuel) Adebayor coming in it is an area that we are a little bit overloaded in and he is one that people want.
"If we're going to do something with somebody then it is a possibility."