His dedication and service led to his appointment as the Bishop of Mbarara, Uganda, on December 11, 1956. He was consecrated as a bishop on March 23, 1957, in the Saints Pierre et Paul Church in Lille, France. As the Bishop of Mbarara, he played a pivotal role in the spiritual and pastoral care of the diocese, guiding the faithful and leading the local church community.

Bishop Ogez participated as a Council Father in all four sessions of the Second Vatican Council, contributing to the significant theological and pastoral discussions that shaped the modern Catholic Church. His insights and experiences were invaluable during this pivotal period in Church history.

On November 25, 1968, Bishop Ogez resigned from his position as the Bishop of Mbarara. On the same day, he was appointed as the Titular Bishop of Thuccabora, a position he held until his resignation on October 20, 1976. After his retirement, he continued to be known as the Bishop Emeritus of Mbarara.

Bishop Ogez passed away on July 10, 2000, at the age of 90, in Bry-sur-Marne, leaving behind a legacy of dedication and service. His contributions to the Church, particularly in Mbarara, Uganda, and his participation in the Second Vatican Council, are remembered with great respect and admiration.