Rojo was selected by coach Gerardo Martino for the 2015 Copa América. At the end of Argentina's goalless quarter-final against Colombia in Viña del Mar, Rojo missed in the penalty shootout but his team advanced nonetheless. On 30 June, he opened the scoring in a 6–1 semi-final defeat of Paraguay which put Argentina into the final. He played the entirety of the decisive match against the hosts at the Estadio Nacional de Chile, which Argentina lost on a penalty shootout after a goalless draw.