The 49-year-old is the No. 1 candidate for PSG owners if they need to replace Pochettino.
Zidane is out of job after leaving Real Madrid last summer following his second tenure at the Santiago Bernabeu.
During his stint with the LaLiga giants, he won 190 of his 301 matches in charge and lifted three Champions Leagues and two LaLiga trophies.
The France World Cup winner is keen on the PSG job if it becomes available, it is believed.
Pochettino has yet to fully settle in Paris since joining them in January. With the United job now vacant after Ole Gunnar Solskjaer’s departure last weekend, he is now keen on a return to the Premier League.
But the 49-year-old has not told PSG’s president or sporting director that he could potentially leave and that there has been no contact from Manchester United regarding a move.