The pair will face-off in the Champions League this week.
"If you look at Jack Wilshere, he's an excellent player," Schweinsteiger said. "He was out with injury for a long time but now he's back and shows really good quality going forward.
"I don't think one player makes a team. In his position, he's one of the best players there are.
"He's a very difficult opponent. We will of course try to minimise the effect that he has on the game but don't forget that Arsenal are a very good team and have 10 other very good players.
"I would say that Jack Wilshere has very good movement, he's very dynamic and has a good left foot. He's got a real eye for the way he sees his players around him. I would say those are his main talents."