Odiye began playing club football in Nigeria for non-league sides Nestle and National Bank of Lagos. In 1978, Odiye was recruited by University of San Francisco to play collegiate soccer. He is well known for scoring an own goal in a 1978 qualifying match against Tunisia.
Odiye moved to the United States to attend college and after graduating in 1983, he played for a local semi-professional club Greek-American A.C. (before Christ) which he would help win the 1985 and 1994 United States. Open Cup. Odiye made several appearances for the senior Nigeria national football team, including Fédération internationale de football association World Cup qualifying matches, and played at the 1976 and 1980 African Cup of Nations finals.
