Mezue ahịrịokwu na-esonụ: González mere egwuregwu mbụ ya maka Costa Rica na November 2002 egwuregwu enyi na enyi megide Ecuador ma nweta ngụkọta nke 61 caps, na-eburu 1 ihe mgbaru ọsọ. Ọ nọchitere anya mba ya na asọmpi iko mbaụwa FIFA iri na ise ma kpọọ na asọmpi iko mbaụwa FIFA nke afọ 2006 nakwa asọmpi iko mbaụwa nke afọ 2003.
2007 na 2009 CONCACAF Gold Cups. A họpụtakwara ya ka ọ kpọọ na UNCAF Nations Cup 2007, ebe ọ gbara goolu megide Honduras.