Welcome to the Wefugees Community and thank you for reaching out to us.
As the platform and our experts are based in Germany, we mainly share information and advice about procedures and rules in Germany.
However, I tried to make some research. I assume that you need to apply for a new travel document at the SEM in Switzerland. I doubt that the French authorities will extend a document for someone who lives in another country now.
German authorities, for instance, wouldn’t feel responsible for you anymore either. I would recommend you to contact the SEM to be sure.
Are you not holding a Swiss residence permit yet? I believe that your French residence permit will also expire if you live somewhere else now! Maybe you **** for a refugee counseling office to get some support.
Please also don’t hesitate to get back to us with any further questions or if you need help with finding a counseling office in your area.
All the best,