Corbatta played a total of 43 games for Argentina in which he scored 18 goals, at one time ranking in joint-13th place with Domingo Tarasconi. He was part of the South American Championship-winning team in 1957, when he formed a legendary attacking line with Humberto Maschio, Antonio Angelillo, Omar Sívori and Osvaldo Cruz. They were nicknamed the "Carasucias", and that was the first Argentine achievement with a great repercusion on the media. Because of his great performance in the tournament, a Chilean journalist defined Corbatta as "the animated cartoon player". With Corbatta in the team, Argentina would repeat the feat in 1959.