The new Manchester United signing scored one sublime goal and created three others during a stunning individual display in Argentina's 4-2 victory over World Cup winners Germany
The 26-year-old underlined just why Manchester United were willing to pay Real Madrid a British-record £57.9 million transfer fee to bring him to Old Trafford by scoring one goal and creating three others, for Sergio Aguero, Erik Lamela and Federico Fernandez, during a virtuoso display in Dusseldorf.
Andre Schurrle and Mario Gotze scored consolation goals for Germany but the night belonged to Di Maria, who exited late on to what Martino felt was a thoroughly deserved round of applause.
"Angel Di Maria has demonstrated why he is one of the five best players in the world," the former Barcelona boss told reporters after what was his first game in charge of the Albiceleste.
Martino had been forced to make do without the likes of Gonzalo Higuain and Lionel Messi so he was just as thrilled by the collective performance as he was Di Maria's sensational individual display.
"I am very satisfied with my team because we had a few players who have not had as much match practice," he enthused.