Martial has been left out of Mourinho's last two matchday squads, raising questions about his long-term United future.
The France international, who joined United from Monaco 17 months ago in a £36million deal that could rise to £58m, has struggled to convince Mourinho of his worth.
Martial, 21, has struggled to hold down a regular starting place this season under Mourinho and has scored just six goals.
Against that backdrop of limited games, Martial's agent claimed the player had considered leaving United to join Sevilla on loan.
That drew a blunt response from Mourinho, who publicly told Martial to ignore his agent and listen to him instead.
Mourinho is known to have been frustrated by Martial's failure to play to his potential when he has selected him this season.
But the United boss revealed he will give Martial – as well as fit-again Luke Shaw – the chance to impress against Wigan in the FA Cup.
Asked how Martial had taken his latest omission, Mourinho said: "I don't know. I don't speak with the players about how they take it.
"But he will play Sunday and, if on Sunday he plays magnificently, he will play against Hull City in the next match. It's simple."
Mourinho will rest first-choice keeper David De Gea tomorrow, after giving him the weekend off, but will pick a strong side to try to ensure United do not fall victim to an FA Cup upset.
"The challenge is the next match - and the next match is the FA Cup,” said Mourinho.
"We know the difficulty to play against a Championship team. We played already Wigan in pre-season, now they are with Warren [Joyce, former United reserve team boss].
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