Rodríguez is a regular member of the senior Spain national team, with whom he won a FIBA World Cup title in 2006, an Olympics silver medal in 2012, as well as a bronze medal at the 2016 Summer Olympics. He also won a EuroBasket title in 2015, a silver medal in 2007, and a bronze medal in 2013. He earned an All-EuroBasket Team selection in 2015.