 Rodríguez akaita mutambo wake wekutanga kuHonduras munaKurume 1999 UNCAF Nations Cup mutambo wakanangana neBelize uye akawana huwandu hwe26 caps, achihwina chibodzwa chimwe. Akamirira nyika yake mumutambo mumwe chete wekukwikwidza kweFIFA World Cup uye akatamba pa1999 na2009 UNCAF Nations Cup pamwe ne2007 CONCACAF Gold Cup. Akatambawo pa 2001 Copa América. 