Martial made just 25 Premier League appearances under Jose Mourinho last season, many of which came as a substitute.
The 21-year-old attacker has been linked with leaving Old Trafford this summer with Tottenham said to be among his potential suitors.
Martial’s French compatriot Petit believes the youngster should ignore the transfer speculation and focus on proving himself at United.
Petit told SFR Sport: “Manchester United, they are building a team to play for the title this year.
Antonio Valencia sits down as Nemanja Matic picks up the ball
“I think he has the qualities to claim to play more at Manchester United”
Emmanuel Petit on Anthony Martial
“They will play the Champions League, he [Martial] will have playing time and the competitions will be long until the end of the year.
“I think he has the qualities to claim to play more at Manchester United.
“Whether it is on the left side or even in the centre, he has already shown that he has the instinct of a scorer.”
Martial came off the bench to score United’s third goal in their 4-0 thrashing of West Ham on Sunday.
He will hope to break into Mourinho’s starting line-up in their trip to Swansea this weekend.
But should he remain on the sidelines, reports last week claimed Spurs are willing to offer him more regular game-time to lure him to London before the transfer window closes.
Gossip from France said Spurs are set to launch a bid for the versatile forward before deadline day.
It is said the north Londoners are eager to hold more advanced talks with United but any potential move would appear unlikely.