The Spanish champions have been linked with a move for both the Germany midfielder and his Blues team-mate Arjen Robben in recent weeks.
However, Ballack has completely dismissed the speculation and insists he wants to prove himself in England after a difficult first season last year.
"I am totally committed to Chelsea," he told the club's website.
"I came here to win trophies and be successful in English football, I want to assure the Chelsea fans of that.
"I am very happy in London professionally and for my family. The speculation about me leaving is not true.
"I am frustrated by my injury at the moment but I am working hard to be fit and hope to be back very soon to join my team-mates."