Saints will not stand in the way of a summer exit for Ramsdale, 27, who signed for the club in a deal worth an initial £18million in August 2024.
The former Arsenal number one could depart St Mary's on loan, while he reportedly also has a £20million relegation release clause in his contract.
The likes of Leeds United, West Ham and even Turkish giants Galatasaray have all been linked with interest in Ramsdale, who has England ambitions.
Goldstein, formerly host of popular Saturday morning show Soccer AM, believes the Red Devils should make a move for the
"I think there’s a whole host of clubs in the Premier League that could easily make him their number one," he told TalkSPORT.
Andre Onana has come under fire at Man UnitedAndre Onana has come under fire at Man United (Image: PA)
"In no particular order, my club could (Man United), honestly I would rather have Aaron Ramsdale than Andre Onana.
"Spurs, I think he’s better than Guglielmo Vicario. Chelsea, crying out for a goalkeeper. West Ham. Newcastle, I’ve put Newcastle in as well."
Ramsdale's stock has remained high despite conceding 66 goals in 30 Premier League matches last season, with just three clean sheets.
He was integral to almost all of the points won by Saints across a dismal league campaign which yielded just two wins and six draws.
Saints owner Dragan Solak has admitted it will be very difficult to keep Ramsdale this summer, with him favouring a Premier League move.
However, the Sport Republic boss added that Ramsdale is happy at Saints and could return to the club if they are promoted again this season.