He played junior hockey for the Cornwall Royals and the Windsor Spitfires from 1987 to 1991. The Winnipeg Jets chose him 46th overall in the 1989 NHL Entry Draft. Cirone turned pro in 1991-92 with the Moncton Hawks and got in a three game trial with the Jets.
Cirone went to Italy in 1992-93 to play for AS Asiago Hockey. While there he was traded to the Florida Panthers for Dave Tomlinson. Cirone returned to North America but could not crack the expansion Panthers roster. He spent the next seven seasons in the minor pros, the last four with the Kansas City Blades.
In the NHL Cirone played 3 games and scored no points.