As reported by the 'Manchester Evening News' the Frenchman registered an interest in all three players during his last year with Real.
It is understood that informal meetings took place in the 2017/18 season, where the reigning Champions League winners asked to be informed on the ongoing situations of all three players, with an eye to a transfer to the Spanish capital.
While Real Madrid have been widely known to be after De Gea for years and Pogba has also been linked with a switch, the interest in Martial had been less widely reported.
Zidane's interest in the three players would point to a wish to work with them, adding fuel to the fire of rumours linking the three time Champions League winning manager taking over from Jose Mourinho at Old Trafford.
While Mourinho is embroiled in a bitter feud with Pogba and is also rumoured to have alienated Martial, it is thought that Zidane would have a better relationship with the pair. Not only is he the same nationality, but he is renowned for his man management skills.
Superstars such as Cristiano Ronaldo and Gareth Bale never spoke out against him, despite not being happy at Real last year, in a stark contrast to the situation at Manchester United at the moment.
Could Zidane be the man to make the club 'United' again?