The 37-year-old former England captain is leaving the Los Angeles Galaxy after six seasons next month in search of a new challenge.
Redknapp told the BBC he's sure Beckham "could still play in the Premier League," adding: "I've not discussed it with the chairman so we'd have to look at that."
In 2011 Beckham trained during the Major League off-season with Tottenham, which Redknapp was managing at the time.
A day after being hired by QPR, Redknapp said Sunday that Beckham "could still be a great asset to anyone. Just having him round the place, showing people how to train and look after yourself."