Timothé Cognat stated after the match against FC Basel that for the moment he is at Servette FC. He said that he had a conversation with the club last year and they spoke again before this season, but noted that situations can change rapidly in football. This follows a report from coach Jocelyn Gourvennec before the start of the season that Cognat would be staying.

Timothé Cognat desired a transfer last winter but did not receive a suitable offer this summer. Jocelyn Gourvennec stated that Cognat is happy at Servette and has overcome his disappointment.

Timothé Cognat, who extended his contract until 2025 in September, wants to leave Servette and has made this clear. John Williams and the entire club are doing everything to persuade him to stay. John Williams stated that if there is even a 1 percent chance, he will try. Williams added that they have big ambitions and want Cognat to be part of this project. Cognat has been at the club for eight years and has played 317 competitive matches.

French central midfielder Timothé Cognat, 28, explained after the victory against Luzern that he is aiming for a club change in the summer after eight years at Servette, despite having a contract until 2029. Cognat said it was not the right time to talk about it, but that he had spoken with officials about it that winter. He said that he had been there for eight years and thought it might be time to look for something new, adding that they had told him there might be a release clause. It is not yet known where he will go after the season. The former France U19 international has a current market value estimated by Transfermarkt at €3.00m. He has contributed 1 goal and 4 assists in 29 Super League appearances during the current campaign.