Crozier spent most of the 1960–61 season in the OHA-Jr. Because of his small frame and size, he was not a favourite with scouts or critics. Despite this, the Buffalo Bisons of the American Hockey League (AHL) recruited Crozier to fill in for their injured starting goaltender, Denis DeJordy, that year. In three games, Crozier recorded two wins and a 2.31 goals against average (GAA). He returned to the Teepees for the 1961–62 season, during which he also had short stints with the Bisons and the Sault Ste. Marie Thunderbirds of the Eastern Professional Hockey League (EPHL).