 Morales akaita mutambo wake wepasi rose wechikwata chenyika yeMexico musi wa 12 Chikunguru 2001, achitamba neBrazil. Morales akatamba kuMexico pa2002 FIFA World Cup muKorea-Japan, kwaakaonekwa mumitambo mina. Akatambawo mu2004 Copa América kwaakarova chinangwa chefreekick chekutanga cheMexico kukunda Argentina. Mutambo wacho wakapera 10 uchitsigira Mexico. Akatambawo mitambo mina mu2005 Confederations Cup, kuGermany nemitambo mishanu mumitambo yekuMexico yekukodzera ye2006 World Cup. Morales akatamba mumitambo mitatu mu2006 FIFA World Cup. Akapinza chibodzwa chefreekick mukukunda kweMexico 20 pamusoro peBrazil mumutambo wekutanga weCopa América. 