Born in El Carmen, Cartago,[1] Elizondo started his career at Orión after coming through the Saprissa youth system.
[2] He then played as a central defender for Saprissa for most of his career and between 1964 and 1969, Elizondo won five championships with them.
He scored 44 goals in total in the Costa Rican premier division.
[3] Elizondo was named one of the top 100 Costa Rican footballers of all-time in 2009[4] and the best of the 1970s.
[2] Elizondo appeared in 43 matches and scored 5 goals for the full Costa Rica national football team from 1963 to 1975.