He has 18 caps for Argentina, since his first game at the 31-12 loss to England, at 9 November 2013, in Twickenham, in a friendly, aged 19 years old.
He played one match in the 2013 End-of-year rugby union test for the Barbarians against Fiji, at the Centenary Match to mark 100 years of rugby in Fiji.
Cordero caught the attention of a wider rugby audience during the 2015 World Cup with his pace and stepping skills, having scored memorable tries, two against Georgia (in which he was named "Man of the Match") and one against Tonga. His clean breaks and distance covered were also noteworthy, thus making significant contributions to Argentina's fourth place in the tournament.
Cordero scored one try for in the Argentinian side that beat the Barbarians 49-31 in the 2015 Killik Cup game, held at Twickenham, London, on 21 November 2015.