Dee ihe ga-aga n'ihu na paragraf a - Gonzalez bụ onye Blue Jays na-amalite obere oge site na 1995 ruo 2001. Na 1999, oge ya dị mkpụmkpụ mgbe ọ malitere na.290 batting nkezi n'ihi na a dọwara labrum na ogwe aka ya. Dọkịta James Andrews mere ya ahụ n'ọnwa Ọgọstụ ma, mgbe ọnwa isii nke ọgwụgwọ gasịrị, ọ laghachitere na Blue Jays dị ka onye na-ebido ha. N'oge ọrụ ya niile, Gonzalez gbara gburugburu.250 na ike dị mma maka onye na-agba n'etiti etiti, mana enweghị ike ịkụ maka nkezi dị elu. O mere maka enweghị nkezi site na mmepụta RBI dị mma na nchebe siri ike. O ji 536 RBI na 137 home runs mechie ọrụ ya. O duziri American League ugboro abụọ na pasent na-agba ọsọ maka shortstops ma ọ na-ejide ihe ndekọ American League maka inye aka na otu egwuregwu na 13, ma bụrụ onye mbụ na 1997 na Total Zone Runs dị ka SS na 13. Mgbe ọ nọrọ afọ asatọ na Toronto Blue Jays, a gbanwere ya na Chicago Cubs na Disemba 21, 2001, maka Félix Heredia na obere leaguer James Deschaine. Gonzalez nwere oge abụọ kachasị mma ya dị ka Cubs na-amalite obere oge site na 2002 ruo 2003. N'afọ 2003, ọ gbara ihe ruru homerun iri abụọ ma soro ndị Cubs banye n'egwuregwu postseason. Gonzalez siri ike na postseason bụ mmebi iwu ya; ọ batara.275 wee kụọ 4 n'ụlọ na egwuregwu 12 postseason. N'oge ọdịda nke asatọ nke Cubs na Egwuregwu 6 nke 2003 NLCS megide Florida Marlins, nke ghọrọ ihe ọjọọ n'ihi ihe omume Steve Bartman
, Gonzalez mehiere n'ịgba bọọlụ n'ime oghere nke Miguel Cabrera gbara, na-enye aka na Marlins na-agba ọsọ asaa, ise na-erughị eru, mgbe nke ahụ gasịrị.