 Gonzalez akaita mutambo wake wekutanga wevakuru kuCosta Rica muna Chivabvu 1990 mumutambo wekudziya nePoland, pamberi chaipo pe1990 FIFA World Cup muItari. Ikoko, pazera remakore 19, akarova chinangwa neCzechoslovakia, achiva mutambi muduku kupfuura vose kuti arove chinangwa muNdebe yeNyika iyoyo. Akawana huwandu hwemakumi matanhatu neshanu, achihwina zvibodzwa zvishanu uye akamiririra nyika yake mumitambo gumi nemapfumbamwe yeFIFA World Cup uye pa1991 CONCACAF Gold Cupuyewo pa 1993 na1997 UNCAF Nations Cups. Zvakare, aive kaputeni wenyika yake panguva ye1997 Copa América uye aive asiri-kutamba nhengo yechikwata pa2001 Copa América. 