Pogba encouraged Mourhino to let United "attack, attack, attack" in a post-match interview with Sky Sports and was later stripped of the vice-captaincy by the Portuguese manager.
While several fans, players, and even football pundits have opined that the Old Trafford club must part ways with the underperforming manager, a few notable figures, such as club legend Wayne Rooney and ex-boss David Moyes, have spoken in support of Mourinho.
According to Calciomercato, the United board are already preparing for life after Mourinho, and have contacted Allegri's entourage to discuss whether the Juve manager would be interested in moving to England.
Indeed, Mourinho and United have also been linked with Serbia defender Nikola Milenkovic, who helped his side keep a clean sheet.
United are eighth in the Premier League, seven points behind leaders Manchester City.
"There are a lot who deserve [the award], I don't put myself among them", he said.
"He's managed to win trophies at United", said Carrick.
"You know that people will question about it, so don't do it".
"I think Jose is still someone that I look up to and admire because managers go through tough times", he said.
"I'm not going to get into it, whether it's (Antoine) Griezmann, Kylian (Mbappe) or Raphael who deserve it much more than me".
Pogba believes being in the World Cup-winning France team is in itself a big achievement and he never plays to get the armband.
"I couldn't have done it without them".
The LA Galaxy striker further added: "But a coach is only as good as his team, so it's not like he can do miracles if the team is not good enough".
"I agree with Jose I think there is a bit of a manhunt out there - everyone seems to be looking at him".
"I'm in my position as I am at the moment and it feels good for me, so we'll see what the future brings".