Cika wannan jumla: An rubuta Fiset a zagaye na biyu, 24th gaba ɗaya, a cikin
1988 NHL Entry Draft da Quebec Nordiques suka yi. Ya buga minti 34 a wasanni 6 a kakar wasansa ta farko tare da Quebec, yana wasa a bayan Ron Tugnutt, da kuma sauran masu tsaron gida da suka sami lokaci a wannan kakar. Fiset ya sami nasarar NHL ta farko a ranar 29 ga Oktoba, 1991 a kan Winnipeg Jets a Le Colisee de Quebec, da ci 7<unk>2. A cikin 'yan shekaru masu zuwa, Fiset ya yi tsalle daga NHL zuwa ƙananan ƙungiyoyin ƙungiyar Nordiques, a hankali yana samun ƙarin lokaci a cikin raga don Nordiques. Bayan kakar wasa ta 1992-93, Ron Hextall ya yi ciniki zuwa New York Islanders, yana buɗe ƙofar Fiset don zama mai farawa. Fiset ba ta yi baƙin ciki ba. A cikin shekaru biyu, Quebec ya gama na farko a taron Gabas, a lokacin takaitaccen lokacin rufewa na 1994-95.