Suárez also played 32 games for Spain and scored fourteen goals. He made his debut on 30 January 1957 in a 5–1 victory over the Netherlands and represented Spain at both the 1962 and 1966 FIFA World Cups. However his greatest achievement with Spain came in 1964 when, together with Josep Maria Fusté, Amancio Amaro, José Ángel Iribar and Chus Pereda, he helped them win the European Championship. He played his final game for Spain in 1972.