Pedzisa mutsara unotevera: González akagadzwa kuva murairidzi mukuru wechikwata chenyika yenhabvu yeCuba muna 2006. Akadzidzisa Cuba pa2007 Caribbean Cup apo vakapedza vari pachinzvimbo chechitatu vachikwikwidza ku
2007 CONCACAF Gold Cup. Akasiya nzvimbo yacho nokukurumidza pashure pacho.