Fiset got his first NHL victory on October 29, 1991 against the Winnipeg Jets in Le Colisee de Quebec, by a score of 7–2.

After the 1992–93 season, Ron Hextall was traded to the New York Islanders, opening the door for Fiset to be the starter.

Fiset was a part of the 1996 Stanley Cup winning team, but was traded to the Los Angeles Kings a few days later.

After the Kings acquired Félix Potvin as insurance, he then effectively lost his starting position and although still hampered by his knees, was traded at the back end of the 2001–02 season to the Montreal Canadiens, but only played two games.

With persistent health issues over the previous two years and loss of form Fiset announced his retirement on September 9, 2002.