The Portuguese defender joined the Hoops on a free transfer last summer, signing a three-year deal worth a reported £65,000 per week.
However, the fans turned on him after he refused to be a substitute in a match against West London rivals Fulham and Redknapp believes that he has "no chance" of winning them around.
"Bosingwa needs to move on, he knows that," the London Evening Standard quotes the 66-year-old as saying. "He's got no chance at QPR, the crowd turned on him last season. He's not liked there as everyone saw.
"For his own sake he needs to move on and play somewhere else."
Bosingwa spent four years at Chelsea before moving to QPR.