Mendy was cleared of one count of rape and one count of attempted rape after a retrial earlier this month.
He was previously cleared of six counts of rape at his initial trial in January.
The left-back, who was a free agent after his release from Manchester City, has now been signed by French club Lorient.
The Ligue 1 side have confirmed that the full-back has signed a contract until 2025.
Mendy played for City prior to the allegations surfacing but was released by the club upon the expiration of his contract.
He made a total of 75 appearances for the club, winning four Premier League titles during his time in the north-west.
Mendy was also a member of the France squad that won the 2018 World Cup.
He has not kicked a ball since August of 2021, when he featured for City in a 1-0 loss to Tottenham.
The 29-year-old previously played his football in France, playing for Marseille, Le Havre, and Monaco prior to moving to the Etihad Stadium.