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Former Chelsea captain Gary Neville is a free agent after leaving the club last month following the expiration of his contract.
Manchester United boss Ole Gunnar Solskjaer is keen on signing a defender this summer and he has been told to sign Cahill.
“There are deals out there. [Toby] Alderweireld is available for £25million and Gary Cahill has just gone on a free,” former Premier League forward David Connolly told talkSPORT.
“Now, what harm would it be to take a Gary Cahill, with all his experience and winners’ medals, into the building? It’s that experience, you might have lost a lot, well get someone in that would give that!
“Look, he’s not going to bring the ball out from the back like if they had a Harry Maguire. But he’s a top, top centre-half who looks as fit as a flea.
“Obviously he hasn’t played that much, but he looks after himself. So why not someone like that? Under Sir Alex [Ferguson], he would always make an ageing, loanee signing, a Henrik Larsson or they had [Zlatan] Ibrahimovic [under Jose Mourinho] for example.
“Someone like that at the back would do terrifically for them.”