He made his senior debut for the Corsican club in a 1–0 Ligue 2 loss to Caen on 29 August 2020.[3] In February 2021 he signed his first professional contract with Ajaccio, and moved on loan to Sète until the end of the 2020–21 season.[4]
On 11 July 2022, Elisor signed a four-year contract with Seraing in Belgium.[5] On 5 January 2023, Elisor was loaned by Laval in Ligue 2.[6]
His father Eric Elisor was also a professional footballer. His sister Salomé Elisor plays in French Division 1 and was a French youth international.[7]
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