Rodríguez inhengo yenguva dzose yechikwata chevakuru cheSpain, chaakakunda nacho mukombe weFIBA World Cup muna 2006, menduru yesirivheri yeOlympics muna 2012, pamwe nemenduru yebronze kumaOlympics ezhizha ra2016. Akakundawo mukombe weEuroBasket muna 2015, menduru yesirivheri muna 2007
, uye menduru yebronze muna 2013. Akawana sarudzo yeAll-EuroBasket Team muna 2015.