The operation, which was carried out in Lyon, went well, the source said, with the player expected to return within three to four months.
There had been fears the 30-year-old Frenchman could be out for a year with the career-threatening issue, which flared up again during a LaLiga match on May 3.
This was the fifth injury this season for the former Le Havre and Lyon player, who came through the PSG youth system from 2004- to 2012.
Mendy earned 10 caps for France between 2018 and 2024.