Cika wannan jumla: A ranar 10 ga Yuni, 2000, an yi musayar Giguère zuwa Mighty Ducks na Anaheim a musayar zagaye na biyu a
2000 (daga baya aka siyar da shi zuwa Washington Capitals; Capitals sun zaɓi Matt Pettinger). Ya fara kakar 2000-01 tare da ƙungiyar gonar Mighty Ducks, Cincinnati Mighty Ducks, har sai da aka kira shi daga AHL. Giguère daga baya ya ɗauki matsayin Dominic Roussel na baya don farawa Guy Hebert. Saboda gajeren lokaci ne kawai a cikin NHL a lokacin da yake aiki tare da Hartford da Calgary, kakar 2000-01 ta cancanci zama kakar wasan NHL na Giguère. Ya taka leda a wasanni 34, ya buga wasan 2.57 GAA da.911 ya ajiye kashi.