Three have been collected and each has been, in its own way, a remarkably clear-eyed, cold strike that speaks to, possibly, the most impressive start to a career in this league that there has been.
There will be dips, of course there will, as manager Louis Van Gaal acknowledged. But there was a telling comment also from the Dutchman when he spoke of how Martial "shows his talent under pressure - and maybe that is his greatest talent".
The evidence was here. There is ice in the 19-year-old's veins; there is fire in his feet. And there is an edge to his game.
It sounds silly, maybe, but he simply looks the part. Martial is not a man, yet, but there was no chance he would be physically dominated. By the end he was helping treat Southampton's Virgil Van Dijk, who went down with cramp presumably from the number of twists and turns he had to execute to track the striker.
This was better from United - going forward, at least, because the trade-off was occasional chaos in defence - as they reclaimed second place, closing the gap on Manchester City, and they will point to the extraordinary sequence of 45 passes, apparently a league record, that resulted in what proved to be the winning goal from Juan Mata and which was, according to Van Gaal, a "confirmation of my philosophy". And yet as important as Martial was, the debt owed to David De Gea.
Martial scored two brilliant goals; De Gea made two brilliant saves, one of which, from Jose Fonte's header, was world class and defied physics.
It was three brilliant saves, in fact, given that De Gea also parried superbly from Sadio Mane from point-blank range before Graziano Pelle scored the first of his two goals.
It was a tough result for Southampton and the frustration was not hidden by manager Ronald Koeman - not least because he lost to his old Dutch nemesis - but because, as impressive as his team were at times, they were also architects of their own undoing.
Van Gaal did not like it when it was suggested that Southampton had dominated the first half-hour but they emphatically did.
United were overwhelmed down either flank with Marcos Rojo struggling at left back and Matteo Darmian performing so poorly on the other side, against Dusan Tadic, that he was hooked at halftime.
It seemed that the story would be that United was overwhelmed. But Martial changed that narrative; turning sharply, wrong-footing Van Dijk and stroking his shot beyond goalkeeper Maarten Stekelenburg. It was a serene whirl and United were improbably level.
Then they were ahead. This time Martial anticipated Maya Yoshida's back pass, springing forward to collect the ball, striding on and having that calmness to bend the ball around Stekelenburg.
Martial's goal, followed by De Gea's intervention, appeared to deflate Southampton, and Mata got the third from a rebound off a post.
