The 34-year-old Spain centre-back, who has suffered a series of injuries over the past year and missed Euro 2012, had arthroscopic surgery at a clinic in the Catalan capital.
The Liga leaders did not say how long he would be sidelined but said surgeons Ramon Cugat and Ricard Pruna, who performed the operation, would hold a news conference on Saturday to provide more information.
Barca play their quarter-final, first leg at PSG on April 2 and the return leg is at the Nou Camp on April 10.

