 Fraser was drafted in the 9th round, 193rd overall by the Montreal Canadiens in the 1991 NHL Entry Draft while in college playing for Dartmouth College.After being drafted Fraser returned to Dartmouth and played for another 3 years with the team, having his best year during the 1992–1993 season in which he scored 44 points in 26 games and earned ECAC conference second All-Star team honors.Fraser also made 2 appearances with the Canadian National team during the 1992–1993 and 1993–1994 seasons.