Quintero made his first 90-minute appearance for Porto on 6 April 2014, in a home match against Académica. He provided somewhat of an assist, again for Jackson Martinez, when he was fouled in the box in the 38th minute, which resulted in a converted Jackson Martínez penalty. Quintero then scored his fourth goal of the season a week later, in the 91st minute in a 3–1 victory over S.C. Braga, after a counterattack which he started.
On 16 December 2014, Porto purchased the remaining 50% economic rights of Quintero from Pescara for €4.5 million, giving them complete ownership of him.
On 2 June 2014, Quintero was named in Colombia's 23-man squad for the 2014 FIFA World Cup and assigned the number 20 shirt. He made his World Cup debut against Ivory Coast in the group stage, coming on for Victor Ibarbo in the 53rd minute, and scored his first international goal to decide the 2–1 win for Los Cafeteros.