 Rodríguez akaita mutambo wake wekutanga kuEl Salvador muna Kubvumbi 1991 UNCAF Nations CupKubudirira kuzorwa neNicaragua uye akawana pamusoro pemakore gumi nemana emakore anokwana 71 caps, achiwana zvibodzwa 9. Akamirira nyika yake mumitambo makumi maviri nemana yeFIFA World Cup uye akatamba pa1991, 1995 na2001 UNCAF Nations Cups pamwe ne1996, 1998 na2002 CONCACAF Gold Cups. 