Alcántara aive nhengo yeCuba Under 17 uye 23 zvikwata uye muna 2005 akaita kutanga kwake kwevakuru veCuban National Team mumutambo waJanuary 2005 weGold Cup qualifier neHaiti. Mukati meGold Cup ya2007
musi wa 8 Chikumi 2007 kuGiants Stadium akarova chibodzwa chekutanga chemutambo wakanangana neMexico. Alcántara akatambira chikwata chenyika kanokwana ka18, achihwina zvibodzwa gumi, asi haasi kutarisirwa kutamba chikwata chenyika kubvira paakatamira kuUnited States. Akamirira nyika yake mumitambo miviri chete yeFIFA World Cup.