Manchester United star Martial was inspired by Chelsea, Juventus and Inter Milan's Red Devils' pursuits of Willian, Gareth Bale and Ivan Perisic.
The Red Devils superstar was keen to leave Old Trafford behind after two years of turbulence under Jose Mourinho.
Manchester United wanted to sign a new contract earlier this season but Mourinho saw their attempts fail.
The 22-year-old had toiled under Mourinho, losing his spot in the side to the out-of-form Alexis Sanchez.
Yet the Evening Standard say that, with Mourinho no longer around, Martial has told United he has changed his mind about an exit.
The France international is a popular figure among Red Devils fans – and has been since since his arrival from Monaco in 2015.
Mourinho, however, appeared not to fancy him.
Three years ago, he immediately stripped Martial of his No 9 shirt.
That was instead given to Zlatan Ibrahimovic – while Martial had to do with the No 11 jersey instead.
Man Utd star Anthony Martial: Career so far
-Anthony Martial started his career with Lyon.
-As a prodigy, he then moved to Monaco where he impressed and established a name for himself.
-Manchester United signed the Martial from Monaco on the deadline day in 2015.
-He helped the Red Devils win the FA Cup under Louis van Gaal.
-Martial also helped United's EFL Cup and Europa League Cup triumphs under Jose Mourinho.
The France international was fine for United 12 months ago.
But the Red Devils' signing of Sanchez from Arsenal finally saw the forward's form tail off.
The Evening Standard say now, however, that Martial is happy at United.
And he has already told the club he now plans to extend his stay in a major boost for the boss Ole Gunnar Solskjaer.
Martial, meanwhile, has fired a dig at former United manager Mourinho by admitting his mood at the club has changed.
"I'm happy, I'm playing more now this season than I was before," he said.
"So hopefully that can continue.
"I want to continue scoring goals and obviously that will have the effect of helping the team, so as I'm playing I am very happy."