Muller has been touted as a possible target for the Red Devils in recent weeks as Louis van Gaal looks to bolster his squad ahead of his second season in charge at the Premier League club.
Reports in recent days have claimed that United have put together a big-money deal to try and tempt him to the Premier League.
And former Tottenham and QPR boss Redknapp feels that Muller would be a great addition to the Red Devils squad this summer.
Redknapp wrote on Kicca: “Thomas Muller would be fantastic signing for any club and it’s not hard to see why Manchester United would want him.
“But would he want to go and would Bayern be prepared to let him go?”
The 25-year-old World Cup winner scored 13 goals and made 10 assists in the Bundesliga for Pep Guardiola’s side last season.
He also scored seven times in the Champions league, setting up his team-mates on three occasions in Europe’s elite club competition.
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