Brizuela played in the Campeonato Ecuatoriano de Fútbol in 1959 with C.S.D. Macará.[1] He recorded 15 goals for Macara during the 1960 season.[2] In 1963, he played with L.D.U. Quito, and finished as the club's top goal scorer in the Interandino tournament.[3][4] In 1964, he played abroad in the Eastern Canada Professional Soccer League with Montréal Italica.[5] He was later released and signed a contract with Montreal Cantalia of the National Soccer League.[6] He returned to his former club Montreal Italica for the 1966 ECPSL season.[7]
In 1967, he played in the Quebec Major Soccer League with Montreal Portuguese.[8] The following season he signed with league rivals Montreal Spania.[9] He re-signed with Spania for the 1969 season.[10] He finished second in the league scoring charts with ten goals during the 1970 season.[11] He continued playing with Spania for three more seasons from 1971 till the 1973 season.[12][13][14]