Article 1452 of the French Code of civil procedure
In the absence of agreement by the parties on the procedures for appointing the arbitrator or arbitrators: 1° In the case of arbitration by a sole arbitrator, if the parties do not agree on the choice of arbitrator, the arbitrator shall be appointed by the person responsible for organising the arbitration or, failing that, by the supporting judge; 2° In the case of arbitration by three arbitrators, each party shall…