In May 2015, Henríquez was included in Chile's squad for the 2015 Copa América. He made his first appearance in the final group game against Bolivia at the Estadio Nacional, coming on at half time for Sánchez and sending in the cross from which Ronald Raldes' own goal concluded a 5–0 victory. In the final against Argentina, he came on for Eduardo Vargas at the start of extra time, as Chile won their first major international honour in a penalty shoot-out following a goalless draw.