Rubuta ci gaba don wannan sakin layi - Martínez ya taka leda tare da tawagar 'yan wasan Argentina U21 a gasar cin kofin matasa ta Pan American ta 2012, da Sultan na Johor Cup na 2013 da kuma gasar cin kofin duniya ta matasa ta 2013 kafin ya fara buga wasan farko a babban tawagar a 2014 a Wasannin Kudancin Amurka na 2014. Ya lashe lambar zinare a wannan gasa kuma ya zira kwallaye hudu. Ya kuma kasance wani ɓangare na tawagar Argentina wanda ya lashe lambar tagulla a gasar cin kofin duniya ta 2014
, wanda shine gasar cin kofin duniya ta farko. A cikin 2018 an zaɓe shi don gasar cin kofin duniya ta 2018, inda ya ci kwallaye biyu a wasanni huɗu. A watan Yulin 2019, an zaɓe shi a cikin tawagar Argentina don Wasannin Pan American na 2019. Sun lashe lambar zinare ta hanyar doke Kanada 5<unk>2 a wasan karshe.