Graziani was also an important international player for Italy: he represented the "Azzurri" at the 1978 FIFA World Cup, as a reserve behind Paolo Rossi, where they finished in fourth place, and subsequently at the 1980 European Championship on home soil, where he made four appearances, scoring once, as Italy finished in fourth place once again, after reaching the semi-final of the tournament. He made his international debut on 19 April 1975, in a 0–0 home draw in Rome against Poland, and scored his first goal for Italy on 7 April 1976, in a 3–1 home win against Portugal.