Rubuta ci gaba don wannan sakin layi - Suárez kuma ya buga wasanni 32 don Spain kuma ya zira kwallaye goma sha huɗu. Ya fara bugawa a ranar 30 ga Janairu 1957 a cikin nasara 5-1 a kan Netherlands kuma ya wakilci Spain a duka gasar cin kofin duniya ta 1962 da 1966. Duk da haka babban nasararsa tare da Spain ya zo a 1964
lokacin da, tare da Josep Maria Fusté, Amancio Amaro, José Ángel Iribar da Chus Pereda, ya taimaka musu lashe gasar zakarun Turai. Ya buga wasansa na karshe ga Spain a shekarar 1972.