"I'm delighted to bring him in. He's a great buy for us," Redknapp told the club's official website. "I didn't think we'd get him, to be honest, but Tony Fernandes worked ever so hard on this. He wouldn't give up on it, and it's great that we now have him here with us.
"He's always been a player I've admired. I've watched him on so many occasions throughout the last few years. I actually spent three or four hours with him last year so he knew what I thought of him, and I think that was important.
"He's quick, can score goals and makes great runs. His movement is excellent. He's got the potential to be a really outstanding striker."
Remy is expected to make his debut during Saturday's clash against West Ham United.