Gigot is a youth product of
Arles-Avignon. He made his
Ligue 2 debut on 30 August 2013 in a match against
Niort. On 15 August 2014, he scored his first league goal against
Nancy. On 4 June 2018, Gigot signed a four-year contract with Russian club
Spartak Moscow, where he later became notable for his passion, and, despite being a defender, his willingness to join attacks. On 19 August 2019, he scored two goals in a 2–1 win over
CSKA Moscow in the
Main Moscow derby. On 29 January 2022, Gigot signed for
Ligue 1 club
Marseille; he was loaned back to Spartak Moscow for the rest of the
2021–22 season. On 19 March 2022, he marked his 100th appearance for Spartak in all competitions during a 1–1 tie against
FC Nizhny Novgorod. His last match for the team was a highly emotional 2–1 win over
Dynamo Moscow on 29 May 2022 in the
Russian Cup final. His debut for
Marseille in
Ligue 1 was on 7 August 2022, when he started in a 4–1 victory over
Reims. Gigot scored his first goal for the club in a 2–1 victory over
LOSC Lille on 10 September 2022. On 30 August 2024, just before the transfer window closed, Gigot joined
Serie A club
Lazio on loan for the 2024–25 season, with a conditional obligation to buy. ==Personal life==