Saint-Étienne Chambost began his footballing career with ES Veauche before being recruited to join the academy of
Saint-Étienne, being part of the teams that won the under-13 and under-17 league championships. He signed his first professional contract with the club on 18 May 2017. Upon signing, Chambost stated, "I did all my training at ASSE. It was my dream to become professional here." While playing for Saint-Étienne B, he was named captain for the 2017–18 season, leading the reserve team to promotion to
National 2. Following the promotion and a successful individual season in which he netted 12 times and
assisted nine, Chambost signed a two-year contract extension with
Les Verts, and would retain his captaincy for the 'B' team for the following season. Chambost received his first professional appearance during a
Coupe de France match on 24 January 2018 versus
Troyes, coming on as a second half substitute. He appeared in just one more Coupe de France game
the following year.
Troyes On 1 July 2019, Chambost agreed to sign for three years with Troyes, reuniting with his former Saint-Étienne B coach,
Laurent Batlles, He fractured his wrist in a preseason match which caused him to miss the first four matches of the
new season, with his return coming in an away fixture at
Valenciennes on 27 August. Chambost remained a starter for the first third of the season before losing his spot and seeing a dramatic decrease in playing time for the remainder of the season. He was given a starting opportunity against
Stade Lavallois, where he scored in a 2–1 defeat. He then started and scored in the following match, a 4–2 win against
Quevilly-Rouen. Chambost continued as a starter for the last two games of the season. Chambost scored his first goal of the
2023–24 season on 28 August versus
Annecy, and would miss the following two matches due to injury. On 20 December 2023, he scored two goals in the first 10 minutes of the match in the 3–2 victory versus
Bastia.
Columbus Crew On 11 June 2024, it was announced that the
Columbus Crew of
Major League Soccer had acquired Chambost from Saint-Étienne. He signed a contract through the 2026 season, with a club option for a further season. Making his official debut for Columbus in the
Leagues Cup against
Sporting Kansas City, Chambost scored the final goal in a 4–0 win for his new side. Chambost made his league debut on 28 August, a start against
Philadelphia Union that ended in a 1–0 win. On 23 April 2026, it was announced that Chambost signed a contract to stay in
Columbus until 2029. == Style of play ==