The £8 million forward suffered the groin problem in the last minute of training on Friday, according to the manager, who said he has "no idea" how long the Frenchman will be out
The forward joined the Loftus Road side in the January transfer window for a then-club record £8 million, and is understood to be on around £80,000 per-week wages.
However, after the striker was left out of the squad for the visit of the Canaries, Redknapp stated that Remy tore his groin muscle - though QPR later confirmed that it was a strain, not a tear.
"[Remy] tore a groin muscle yesterday," Redknapp told reporters, when asked about the striker's absence. "No idea at the moment [how long he'll be out for].
"He got a groin [injury] last minute of training yesterday. Struck a ball and felt it go."
Redknapp also revealed that Bobby Zamora is struggling with his fitness, despite making a substitute appearance in the draw.
Zamora recently had a hip operation, but the manager stated that he may need another one at the end of the season, and getting 35 minutes out of the forward is "a miracle" at the moment.
He added: "I felt when Bobby Zamora came on it made a difference to us. Bobby can't play 90 minutes for us, it's a problem. If I had Bobby Zamora fit, we'd be a different team, no doubt about that.
"He's had an operation on his hip and it seizes up on him. He may need another op at the end of the season. But at the moment, once he stops - after 10 minutes he feels it clamp up on him.
"So getting him through half a game, 40 minutes, 35 minutes, is a miracle. At the moment, that's as much as we can get out of him."