Anthony Caci played his entire adult career at RC Strasbourg. He was signed by the club in 2015 and made his Ligue 2 debut with the main squad during the 2016-2017 season. In total, he made 38 Ligue 2 and League 1 appearances for the club.
During the 2018-2019, Strasbourg won the French League Cup.
In 2019, Caci played two games for the French Under 21 squad.