The Bavarian club travel to the Emirates on Tuesday for their UEFA Champions League last-16 clash with Wilshere's Arsenal, who have not won a trophy in eight years.
That drought has brought the quality of the Gunners squad into question, but Schweinsteiger has claimed that Wilshere is of a calibre comparable to Arsenal favourites of recent years.
"But they still have a good team. You only have to look at Jack Wilshere who is an excellent player.
"After he was out for so long, he is back now and showing his form. In his position, he is one of the best players there is."
Wilshere has made 23 Arsenal appearances this season, scoring two goals.