Speculation regarding such as a switch has been widespread after the Wales international endured a difficult second season in Spain where he has even subjected to abuse from Real Madrid's own supporters.
The 25-year-old has been jeered on occasions by his own fans, who feel Bale has not done enough in his second season - a year after scoring in both the Copa Del Rey and Champions League finals, which Real Madrid won.
The former Southampton and Tottenham Hotspur man is being closely monitored by Manchester United, as per Eurosport, with reports also suggesting that Louis van Gaal is eyeing up a return for Cristiano Ronaldo.
Oh no... not again, many of you are probably saying. Another summer transfer window where United are linked with Ronaldo. When will it stop?
However, Redknapp, who managed Bale at White Hart Lane, believes the Old Trafford outfit could win the Premier League again if they land the Welsh hotshot.
"If you said to me, as a Premier League manager you could have the pick of one player in the world, it would be Gareth above any other player - if he wanted to come back.
"A year ago, for me, he was the third best player in the world. He maybe has fallen behind Neymar and Luis Suarez now but he could come back here, as a fantastic footballer, and if he came back to England he could change the fortunes of a football club - he has that much ability."
So, Louis van Gaal, there you have it. Forget the rest, take Redkapp's advise and simply sign Gareth Bale. Easy.