Schweinsteiger has been linked with a move away from German giants Bayern Munich in recent months.
“He has taken on the responsibility placed in him and is now in a phase when he is looking to reach the zenith of his career,” Ballack told Kicker magazine.
“He took a huge step forwards at the World Cup. He has presence, authority, personality, performance and goals – he has everything.
“Only he will be able to feel what is right for him for the future.
“Of course, every footballer is attracted to certain things and Bastian will feel these also. But there are not that many big clubs around and Bayern is one of them.
“On the other hand, Real or Man United are both attractive and he would fit in well at both clubs.”