I am a Swiss tax resident. My mother, who passed away this year, lived in France in a house she owned and did not make a will. Can I appoint a notary in Switzerland?

Yes, but… The law applicable to your mother’s estate is French law, since her tax residence was in France. You may choose any notary you wish, but only a French notary can file the deeds recording the transfer of ownership of your mother’s real estate with the Land Registry (Article 4 of Decree No. 55-22 of 4 January 1955).