Pogba was handed the captain's arm-band by United boss Jose Mourinho for the league opener against Leicester, and scored a penalty, but his post-match comments caused a stir.
Last month, reports claimed that United have shortlisted Zidane as one of the candidates to replace Mourinho if the 55-year-old leaves at the end of the season.
Manchester United's lack of new signings combined with the uncertainty surrounding the team's strategies and form gives the club a very small chance of challenging for the Premier League title, former midfielder Paul Scholes has said.
An unhappy Pogba had told newspaper reporters: "There are things I can say and there are things that I cannot say, otherwise I will get fine".
Jose Mourinho notoriously ends his affiliation with clubs within three years and as he enters his third season managing Manchester United there are serious questions over whether he will remain at Old Trafford beyond this season.
Pogba has struggled to justify his £89m club record transfer fee during the versatile midfielder's two seasons back at Old Trafford.
Ander Herrera has said that he is ready to sign a new contract at Manchester United.
"The way the club treats me is flawless".
And Mourinho also disagreed with Woodward over the future of Anthony Martial, with the United manager ready to offload the French forward as opposed to wasting him on the bench. According to 'L'Equipe', the Premier League is what interests him the most.
Dalot moved to United in a £19m deal from FC Porto earlier in the summer but arrived carrying a knee injury that he sustained while playing in Portugal during the latter stages of last season.