Pedzisa mutsara unotevera: Akazvarwa muQuebec, Gauthier akavandudzwa muzvirongwa zvayo zviduku zvechando zvechando 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.