Zamora has struggled to get games this season mainly due to injuries. He had a knee injury at the start of the season, only to sustain a hip injury in November.
The forward joined the R's last January from Fulham, but hasn't been able to make his mark in the team this season. Redknapp has tended to use Charlie Austin as his main forward, with Andrew Johnson also featuring.
Redknapp said: "If he wanted to move I wouldn't stand in his way, no more than a few other lads. 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."