Martial, 22, has not featured for France regularly since the European Championship on home soil in 2016, although he did start the 3-1 friendly win away at 2018 World Cup hosts Russian Federation in Saint Petersburg in March.
He told MUTV: 'I never gave up.
Martial won the last of his 18 caps in a friendly against Russian Federation, while missing the successful World Cup campaign in Russian Federation this summer, Xinhua reported on Thursday. It is up to his talent, because he has phenomenal talent.
'I knew that for him to become a really top player, he needed to overcome some barriers that I put on the road for him.
The 22-year-old has struggled to maintain consistent form under Jose Mourinho during his first two seasons in charge.
Both Jose Mourinho and Anthony Martial seemed destined to leave the "Red Devils" just a few months ago, with the former losing fans on the Man Utd board and the latter frustrating fans in the stands.
He said: "Anthony has been with the national team for a while now".
"Anthony has had good times in blue but also some hard, particularly at club level", Deschamps told a news conference after he unveiled his latest squad.
Martial wants to stay in Manchester and although his contract expires at the end of the season, United can trigger an additional 12-month extension. I'm talking about commitment and efficiency in front of goal.
"He is still a young player, but one who, I hope, is seeing the importance he has taken in Manchester in recent weeks".
The United superstar has been linked with a move away from Old Trafford, amid reports of a hard relationship with manager Jose Mourinho, but the Portuguese coach has made him central to his plans in recent weeks .
He will be hoping to add to his 18 worldwide caps in Rotterdam next Friday and against Uruguay at the Stade de France on November 20.