The Hoops had been linked with a move for Stoke’s England striker, who has struggled to hold down a regular starting spot at the Britannia Stadium outfit this term.
“These are two players whose names have been mentioned but at the moment we’re not close to doing anything,” Redknapp told BBC Sport.
“Crouch’s name came up in a meeting with the chairman but I don’t think Stoke want to sell him.”
Anzhi defender Chris Samba has been a name regularly linked with the west London club since the Congo international completed a move to Russia in 2012.
With Samba’s former Blackburn team-mate Ryan Nelsen set to play his last game for QPR against Manchester City on Tuesday, Redknapp is chasing a centre-half.
But the 65-year-old doubts QPR can complete a swoop for the gigantic centre-half, with the Hoops hoping to get a work permit for South Korea left-back Yun-Suk Young.
“On Samba, again the chairman is dealing with this. At this stage I don’t think that’s a goer,” he added.
“I like Christopher Samba and he is a very good player but at this stage I don’t see him leaving Russia.
“Things can changes but at this stage we’re not close to doing anything.”