Pedzisa mutsara unotevera:
1988 NHL Entry Draft neNew York Rangers, Amonte anonyanya kuzivikanwa nenguva yake senyeredzi yekuisa zvibodzwa neChicago Blackhawks uye nekumiririra United States mumutambo wepasi rose. Amonte akaita kutanga kwake mumutambo we1991. Akaorora somutambi mutsva, achihwina zvibodzwa zvinopfuura 30 uye achiva wechitatu mukuvhotera Calder Memorial Trophy. Akatamba mwaka mitatu neRangers, achihwina zvibodzwa makumi masere nemana, asati atengeswa kuChicago Blackhawks nemitambo minomwe yekupinda mumwaka wa1993-94, gore iro Rangers rakaenderera mberi kuhwina mukombe weStanley. Akawana mukurumbira muChicago kwaakatanga kubatana zvakare neyaimbova Thayer Academy teammate Jeremy Roenick, achihwina zvibodzwa makumi matatu kashanu uye kanokwana makumi mana katatu, kusanganisira kuve nemwaka mishanu-refu mutsara waasina kupotsa mutambo mumwe chete.