Rubuta ci gaba don wannan sakin layi - González ya fara bugawa Costa Rica wasa a watan Nuwambar 2002 a wasan sada zumunci da Ecuador kuma ya sami adadin wasanni 61, inda ya zira kwallaye 1. Ya wakilci kasarsa a wasanni 15 na gasar cin kofin duniya na FIFA kuma ya taka leda a gasar cin kofin duniya ta 2006 da kuma 2003, 2007
da kuma 2009 CONCACAF Gold Cups. An kuma zaɓe shi ya buga gasar cin kofin ƙasashen UNCAF 2007, inda ya ci kwallo a kan Honduras.