The Reds had agreed to match his £8.5m release clause – applicable only to top four teams – and agreed personal terms, but issues that arose during his medical saw them pull the plug.
Since then Remy has returned to QPR, but interest from the likes of Newcastle, Spurs and West Ham has been mooted.
The 27-year-old is however in line to start the Super Hoops’ first game back in the top flight this weekend against Hull, and Redknapp believes that he will be staying put to score the goals needed to keep the London club clear of the drop:
“His goals could make the difference. If strikers get 14-15 goals for you, you need that if you’re going to survive.” He told the London Evening Standard.
“I didn’t have to persuade him [to play for QPR]. He just said ‘I’m back and I want to play’. Unless something massive comes up, he would like to stay here.
“There have been several clubs in the Premier League that have made an enquiry since Liverpool but I don’t think they’re ones he wants to leave QPR for.”