The 46-year-old France legend is now out of a job after having quit as Real Madrid manager at the end of last season, after having guided the Spanish side to their third successive Champions League triumph.
United officials believe there are differences in that Mourinho was coming off the back of winning titles at Real Madrid and Chelsea ahead of those respective departures. However, he abruptly departed from his job at the Bernabeu shortly after lifting the European trophy in May of this year stating that he felt it was time for a change.
Zidane addresses the press in previous interview where he announced his exit from Real Madrid.
The report claims that the former Juventus midfielder is especially keen on managing Manchester United.
The pair are said to have clashed with Mourinho telling Pogba if he wanted to quit the club "again" he should hand in a transfer request.
The Sun reported in July that Zidane was top of United's shortlist should Mourinho leave the club.More news: Rival Korean leaders to meet in Pyongyang in September
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However, the United hierarchy were prepared to pay £100m to land Raphael Varane had Real Madrid been willing to sell.
Meanwhile, Manchester United are now gearing up for their trip to Brighton in the Premier League on Sunday afternoon.
The rumour comes from a reliable source and this isn't the first time that Zidane has been linked with Manchester United.
Mourinho is under huge pressure win the Premier League this season after failing to win a trophy at Old Trafford last campaign.
Mourinho is still under contract at Manchester United and will continue as manager for the foreseeable future.
Fred made his Premier League debut in United's 2-1 victory over Leicester on Friday night and impressed alongside Paul Pogba and Andreas Pereira.