Rubuta ci gaba don wannan sakin layi - Cuadrado ya fara wasan farko na kasa da kasa a shekarar 2010, kuma tun daga wannan lokacin ya samu wasanni 100. Ya kasance wani ɓangare na 'yan wasan Colombia waɗanda suka halarci bugu biyar na Copa América (2011, 2015, 2016).
, 2019 da 2021), sun kai wasan kusa da na karshe a sau uku, kuma sun ba da gudummawa ga na uku a cikin 2016 da 2021; Cuadrado ya kuma wakilci kasarsa a gasar cin kofin duniya biyu na FIFA, a 2014 da 2018.