Ramba uchiverenga ndima iyi - Akazvarwa muQuebec, Gauthier akavandudza muzvirongwa zvake zvomunharaunda zviduku zvehockey yechando uye aida kutevera basa rekoreji pane kuti QMJHL. Mushure mekusarudzwa kwake neOcéanic muQMJHL neYoungstown Phantoms muUnited States Hockey League, akakurudzirwa naSidney Crosby kuti aite basa mudunhu rake rekuzvarwa. Munguva yake neboka, Gauthier akakwikwidza kuTeam Canada mumakwikwi akasiyana siyana epasi rese. Akakunda menduru yegoridhe pa2013 IIHF World U18 Championships uye 2015 World Junior Ice Hockey Championships
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