 Rodríguez akaita mutambo wake wokutanga wenyika yose mumutambo waJanuary 2003 wokushamwaridzana neEl Salvador uye kubvira ipapo akavharwa kanopfuura ka70 nokuda kwenyika yake. Akamirira nyika yake mumitambo 19 yeFIFA World Cup yekukodzera pamwe ne2003 FIFA World Cup.uye 2007 CONCACAF Gold Cups. 