Martial has become a key player for United since moving to Old Trafford from Monaco last summer.
French newspaper L’Equipe claims PSG are ready to make a £60million move for the talented striker.
PSG are hoping to persuade Martial to join them with the allure of Champions League football.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.