The striker has made just seven appearances for the R's since the start of the season due to a string of injury problems.
Despite wanting to keep Zamora at Loftus Road, Redknapp admits that the 33-year-old can find employment elsewhere if he wants.
"If he wanted to move, I wouldn't stand in his way, no more than a few other lads," Sky Sports News quotes him as saying.
"If they're not playing and want to go, you don't want unhappy players around.
"I'm happy to keep Bobby here because he's a good pro and a good player. We'll see what happens."
Zamora joined QPR from Fulham in January 2013.