Sylvestre made his professional debut for
Nice in a 2–0 loss to
Strasbourg on 22 December 2018. He joined
Auxerre on a one-year loan in 2019. In October 2020, Sylvestre signed for Belgian club
Standard Liège. On 15 July 2021, he joined
Pau on loan. He returned to Pau on a permanent basis at the end of the season. A year later, in July 2023, Sylvestre joined fellow league club
Grenoble on a deal until June 2026. On 1 September 2025, Sylvestre signed a two-year contract with
Dunkerque. ==Personal life==