Gonzalez akagadzwa semurairidzi mukuru wechikwata chenyika yenhabvu yeCuba muna 2006. Akadzidzisa Cuba pa2007 Caribbean Cup apo vakapedza vari pachinzvimbo chechitatu vachikwikwidza ku2007 CONCACAF Gold Cup
. Akasiya nzvimbo yacho nokukurumidza pashure pacho.