Eyebrows were raised towards the end of the summer transfer window when United laid out a massive fee of around £36m for the Monaco youngster, as reported by the BBC, and the price could eventually rise to what would be a club record outlay of £56m.
For a club that has had some of the world's greatest players playing for it throughout its illustrious history, the decision to splurge such a huge amount on Martial was immediately questioned, and the pressure is on the youngster every time he takes to the field following his big-money transfer.
In a summer window that saw the Red Devils linked with several of the biggest names in world football, the arrival of the relatively unknown Martial was seen as something of a let down by some sections of the fans.
However, Martial has settled into life at Old Trafford seamlessly, and the ex-Monaco forward has already netted four goals for his new side, including a debut effort against none other than fierce rivals Liverpool after the international break.
The Frenchman announced himself to the Premier League audience by dancing beyond Martin Skrtel and coolly converting past Simon Mignolet late on to effectively end Liverpool’s attempts of a comeback at Old Trafford in last month's 3-1 win.
Speaking to reporters ahead of France’s friendlies with Armenia and Denmark, Deschamps claimed that Martial was making light of his mammoth fee, and the Les Bleus coach also feels that his player’s performances are the perfect way to silence naysayers who said he would struggle to adapt to the step up from Monaco.
Deschamps told journalists as reported by Goal.com: "He has the potential. Everybody is surprised by what he is doing at United but that's good for him and good for us. He deserves to be here," the 46-year-old told reporters.
"It was anything but easy after everything that has been written and said about him. It has silenced a few people. He's young, he may have more complicated times. He's able to make great things happen. He did in Monaco.
"He's doing it now in a club at another level so it is easier to pay attention to his performances. He's always been talented though."
Martial is expected to start when Louis van Gaal’s Premier League leaders travel to Arsenal this Sunday.