The midfielder is set to leave MLS giants LA Galaxy at the end of the current American season, with his lucrative content due to expire.
It has been speculated that he may move to Australia in a bid to expand the A League’s global status, but rumours are now circulating that QPR may be interested.
Redknapp admitted that he would be open to signing Beckham and that he believes he would be able to contribute despite being 37-years-old:
“I’m sure he could still play in the Premier League,” he is quoted by SkySports.
“He is a top player and a fantastic person.
“We had him at Tottenham training and he was amazing around the place, absolute class.
But, he also acknowledged that no official plans are in place:
“I haven’t discussed it with the chairman (Tony Fernandes) at the moment so we’d have to look at that.
“But David could still certainly be a great asset to anybody, showing people how to train, how to look after yourself. His professionalism is second to none.”
Beckham enjoyed a successful spell with Manchester United between 1993 and 2003, before joining Real Madrid in a big money move.
He left the Spanish capital after four years moving to the USA as the first Designated Player in MLS history.