Schweinsteiger, a life long Bayern man, is coming into the final year of his contract and has been rumoured to have been tempted by a move to Man United this summer.
The 31-year-old midfielder struggled to recapture his best form during an injury hit campaign last term in which he scored a total of five goals.
Speaking to Bild, German coach and ex-player Matthaus spoke of how a move to Manchester could revive his career.
“Schweinsteiger needs a coach that will play him according to his strengths and Van Gaal will surely do that. If there is an offer from Manchester, Bastian should give it serious consideration,” Matthaus said.
“He’s never been the fastest player in the world and, as he turns 31 soon, that will not improve but he is certainly intelligent enough and has the necessary vision to be the central link between defence and offensive midfield.”
Schweinsteiger was managed by Louis Van Gaal for two years when he lead Bayern to the German title in 2009 and this could prove important in the outcome of this potential signing.
The player wouldn’t be guaranteed a automatic place at United and would have to take the amount of playing time he would get into consideration. With the likes of Daley Blind, Ander Herrera, and Marouanne Fellaini already at the club, all of whom are in their prime, it would be hard to justify a large price tag for the German. However, if van Gaal can get him on the cheap, it would be an excellent bit of business.