Kammala jumla mai zuwa: A watan Agusta 2006, Rodríguez ya lashe lambar zinare a gasar zakarun duniya ta FIBA ta 2006, yayin wasa tare da manyan 'yan wasan Spain. Ya kuma lashe lambar azurfa tare da manyan 'yan wasan kasar Spain a EuroBasket 2007. A shekarar 2012, ya lashe lambar azurfa a gasar
Wasannin Olympics na bazara a Landan. A shekara ta 2016, ya lashe lambar tagulla a Wasannin Olympics na bazara a Rio de Janeiro.