Quintero Arce was born in Etzatlán, Mexico, and was ordained a priest on April 8, 1944, for the Archdiocese of Guadalajara.
He was appointed Bishop of the Diocese of Ciudad Valles on March 20, 1961, and consecrated on May 14, 1961.
Quintero Arce was appointed Coadjutor Archbishop of the Archdiocese of Hermosillo on March 3, 1966, and succeeded as bishop upon retirement of Archbishop Juan María Navarrete y Guerrero on August 18, 1968.
Quintero Arce retired from the Archdiocese of Hermosillo on August 20, 1996.
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