Mezue ahịrịokwu na-esonụ: N'August 2006, Rodríguez meriri nrite ọlaedo na 2006 FIBA World Championship, mgbe ọ na-egwu egwuregwu na ndị okenye ndị Spain. O ritere ọlaọcha na ndị otu egwuregwu mba Spain na EuroBasket 2007. N'afọ 2012, o ritere ọlaọcha n'asọmpi
Egwuregwu Olimpik nke Oge Okpomọkụ na London. N'afọ 2016, o ritere ọla nchara n'egwuregwu Olimpik n'oge okpomọkụ na Rio de Janeiro.