Martial’s agent said he wants to quit Old Trafford this summer.
The forward has struggled at Manchester United under Jose Mourinho after flourishing under Louis van Gaal.
Chelsea and Tottenham and among the clubs monitoring his situation with European sides Juventus and Barcelona also keen.
But, according to Sky Sports, United do NOT want to sell and see him as an important part of their squad next season.
United had opened contract talks with Martial towards the end of last season but a resolution is yet to be reached.
And his agent Philippe Lamboley confirmed yesterday that Martial had decided he wanted to leave.
“After thinking about all the possibilities and scenarios, Anthony wants to leave Manchester United,” Lamboley told RMC Sport.
“There are many parameters, for now it’s premature to talk about it. Anthony will speak later to discuss all of this.
“Manchester United wants to extend Anthony and does not want him to leave but we do not find agreement for several months.
“I think that when Manchester United, which is the most powerful club in the world, it must be remembered, does not find an agreement in eight months of negotiations, it is that it does not really want to make it an important player in its workforce.
“That’s why this decision comes in. It is a well-considered decision.
“However, it is quite obvious and it is very important to remember that he is under contract, that Manchester United will have the last word and that we will respect the decision of the club, it will go to the end of its commitment.
“However we do not have the same vision on Anthony’s future. Today, Anthony is disappointed because he has shown for three seasons the love he had for the club and his supporters.
“Besides, I can tell you that without the unconditional support of the fans, Anthony would have already asked to leave United.
“However, Anthony got hooked, he showed great professionalism, he was successful.
“I think he has done his best for three years. It is important to remember that this season he scored 11 goals and gave ten assists in five months. He was elected three times players of the month by the fans.
“Then arrived the transfer window of January. I will not comment on the consequences of this transfer window. Everyone will have his opinion, I think he must resume the course of his career. The time has come.”
On where he could go his agent added: “Anthony has the choice, I cannot say anything on the subject at the moment but you think that from the moment a player like Anthony is on the market a lot of clubs are interested.
“The only thing I can say is that many coaches appreciate his profile and that many clubs want to show their projects to Anthony.”