Fraser only played seven games with the Islanders during the 1992–93 season and became a member of the Quebec Nordiques in 1993–94. He only played one season with the Nordiques; he recorded 17 goals and 20 assists, both career highs.
Fraser's time with the Islanders was limited to just seven games in the 1992-1993 season. He then moved on to the Quebec Nordiques in 1993-1994, where he played a single season and achieved career bests in goals and assists.