Matambudziko ekukuvara akaenderera mberi mwaka wakatevera, muna 2000<unk>01, sezvo Cloutier akaiswa parutivi kwemitambo mipfumbamwe pakutanga kwemwaka mushure mekurova biceps yake musi wa22 Gumiguru 2000. Mushure mekupora, akanyora yake yekutanga NHL shutout, achigadzira makumi maviri nematanhatu, mukukunda 3-0 kurwisa Detroit Red Wings musi waZvita 2, 2000. Akaita izvi mumutambo wake wechi95 muNHL. Mumwedzi iwoyo, murairidzi mukuru Steve Ludzik akatanga kutamba backup Kevin Weekes achitsigira Cloutier. Pakazosvika nguva yekutengesa, Cloutier akaendeswa kuVancouver Canucks musi waFebruary 7, 2001, mukutsinhana nemudziviriri Adrian Aucoin uye sarudzo yechipiri-kutenderera mu2001 dhizaini
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