Ciccarelli played with Canada at various international events during his career. At the 1980 World Junior Ice Hockey Championships held in Helsinki, Finland, Ciccarelli had five goals and six points in five games, as Canada finished in fifth place. At the 1982 IIHF World Hockey Championship held in Finland, Ciccarelli had two goals and three points in nine games, as the Canadians won the Bronze Medal. Ciccarelli also played in the 1987 IIHF World Hockey Championship in Austria, getting four goals and six points in 10 games as Canada finished in fourth place.