Rigitano was accepted as a professional by the World Professional Billiards and Snooker Association (WPBSA) in 1983. In the 1983–84 snooker season he defeated Marcel Gauvreau 9–6 in the first round of the 1983 Canadian Professional Championship, before losing 4–9 to Bernie Mikkelsen. In his four-player pre-qualifying group for the 1984 International Masters he progressed, recording 2–0 wins against both Dennis Hughes and Paul Medati, and 2–1 against Bill Oliver. In the next group round he played Jimmy White and Frank Jonik, with White winning the group and qualifying for the main event. At the 1984 World Snooker Championship, Rigitano was eliminated in the first round, 7–10 by Matt Gibson.