 Chabbert was appointed Coadjutor Archbishop of the Archdiocese of Rabat, in Morocco, as well as titular bishop of Quaestoriana on 13 April 1967 and was consecrated bishop on 7 July 1967; he succeeded to that see in 1968.Chabbert was then appointed bishop of the Diocese of Perpignan-Elne on 17 July 1982, and served there until his retirement on 16 January 1996.Chabbert died on 20 September 2016 at the age of 95.