Martínez was given the names “Damián Emiliano” on his birth certificate, which caused confusion when he signed for Arsenal and everyone at the club was calling him Damián. “My name was actually going to be Emiliano Damian on my Argentinian ID,” Martínez later explained. “But when my mum went to do it in the post office, I don’t know where she done it, she was waiting hours and hours in the queue and when they done it they put Damian Emiliano first. To do it again she would have to wait two, three hours so she went ‘it’s ok, just do it like that, we’re going to call him Emi anyway’. It was a bit confusing but now everyone calls me Emi. Damian used to be my grandad’s middle name. My mum [originally] wanted just two names – Emiliano Martinez – but because my grandad passed away before I was born she wanted to put Damian in between the two names to have my grandad’s name, nothing else.” He is nicknamed “Dibu” (abbreviation of Dibujo, Spanish for Drawing), after an animated character in the Argentine telenovela Mi familia es un dibujo. Martinez was given the nickname as a young player by former goalkeeper and goalkeeper coach Miguel Ángel Santoro at Independiente, at a time when the series was highly popular. Martínez has been married to Amanda “Mandinha” (née Gama) since 2017. The couple have a son, Santi, and a daughter, Ava. On 22 December 2022, after winning the 2022 FIFA World Cup with the national team, Martínez was given a welcome reception at Las Toscas resort, in his native city of Mar del Plata. According to the local press, there was an attendance of more than 150,000 people, both locals and tourists. Martínez was called up to the Argentina senior squad to replace Oscar Ustari to face Nigeria in June 2011. He received his second senior call up against Germany and Ecuador on 9 and 13 October 2019; he was an unused substitute for both friendly matches. Martínez made his international debut on 3 June 2021, in a 1–1 draw with Chile in a 2022 FIFA World Cup qualification match. He subsequently made his competitive debut in a major tournament on 14 June, once again in a 1–1 draw against the same opponent in his team’s opening match of the 2021 Copa América at the Estádio Olímpico Nilton Santos in Brazil. In the 57th minute, he saved a penalty from Arturo Vidal, but he failed to prevent Eduardo Vargas from scoring on the rebound. On 6 July, Martínez saved three spot kicks in a 3–2 penalty shootout victory for Argentina over Colombia in the semi-final of the tournament. He went on to finish the tournament with a clean sheet in the 1–0 victory over Brazil in the final. Martínez was also awarded the 2021 Copa América’s Golden Glove award as the best keeper of the tournament for his performances. On 1 June 2022, Martínez kept a clean sheet as Argentina won 3–0 against reigning European Champions Italy at Wembley Stadium in the 2022 Finalissima. Martínez was included in Argentina’s squad for the 2022 FIFA World Cup in Qatar, and played in each of his team’s games. He saved two penalties in a shoot-out against the Netherlands in the quarter-final, helping his team make it to the last four. In the final, Martínez saved a shot from a 1 on 1 with Randal Kolo Muani in the last minute of extra time to force the match to a penalty shoot-out. He later saved a penalty from Kingsley Coman in the penalty shoot-out, helping Argentina win the tournament via a 4–2 shootout victory after the game had ended in a 3–3 draw after extra time. He won the Golden Glove award for his performances in the tournament. Martínez also won the 2022 The Best FIFA Men’s Goalkeeper award. Martínez created controversy after winning the Golden Glove during the 2022 FIFA World Cup award ceremony; he put the trophy to his groin and pointed towards the audience, and then emphatically waved it in the air. It generated a stir, and some media outlets reported that he had made a vulgar gesture. Addressing this, Martinez said he had done this gesture due to the French fans booing him. He also led a conga line of Argentine players at the locker room making fun of French player Kylian Mbappé. During the celebrations in Buenos Aires, fans presented him with a baby-doll with the face of Mbappé. Several international media outlets criticised him for these actions, and many accused him of lacking sportsmanship.