Dragić competed with the senior men's Slovenian national basketball team at the 2006 FIBA World Championship and the 2007 EuroBasket, in limited roles. Dragić's role with the Slovenian national basketball team began to increase in the 2009 EuroBasket and the 2010 FIBA World Championship. He then played with his brother Zoran in the 2011 EuroBasket and the 2013 EuroBasket, the latter which was held in Slovenia. During the 2013 tournament, Goran and his brother helped lead Slovenia to a 5th-place finish and a spot in the 2014 FIBA World Cup. Dragić finished in the 2013 EuroBasket's top five in points and assists, which earned him a spot on the All-Tournament Team. In 2014, Dragić was named Slovenia's team captain after Jaka Lakovič retired from national team play. In the friendly games before the 2014 FIBA World Cup, Dragić was rested in 9 of their 14 games, before actually playing in the official tournament's matches. After finishing up their friendly games, Dragić played with no restrictions beyond the rest of the competition; he was the only All-NBA Team member to play in the 2014 FIBA World Cup, aside from the Team USA members.