Pogba, 25, was once again under the microscope during United insipid display against the Hammers as they fell to a shock 3-1 defeat at the London Stadium.
While manager Jose Mourinho's future will now come under further scrutiny, Pogba's role in the current upheaval has been debated fiercely amongst English media and former players.
Premier League record scorer, Alan Shearer, in particular, did not mince his words after he was substituted without acknowledging the Portuguese tactician.
"He was pathetic again at West Ham and was that bad that Mourinho had to drag him off as he was offering nothing,” Shearer told The Sun.
"Paul Pogba is Manchester United’s record signing. Just take that in for a moment and consider all the great players who have played for this club.
"Despite being a World Cup winner, he cannot lace the boots of those whose names will go down in history at Old Trafford."
However, Les Blues head coach Deschamps has defended the player who was stripped of his captaincy this season after 'undermining' him during a recent press conference.
"There are a few things people ought to know," he said, as quoted by The Observer. "First of all there is an image of Paul that doesn't correspond to who he is. Maybe it is because he is a bit eccentric, a bit demonstrative.
"He has been with me since 2013 -- that is five years now -- and the way he functions is not about him for himself, it is him as part of the group. That is really important.
"His image in the media makes everything quite complicated. The amount of the transfer [fee] to Manchester United is ridiculous, it wasn't easy to manage.
"During this World Cup he managed to get a normal image back. The fact he talks, it liberates him a bit, but the most important thing is that Paul came to this World Cup with a very precise idea: he wanted to prepare himself to be world champion. That is what he had in his mind.
"For Paul it depends not only on him but also the team he is in, the collective way of playing. It is not a case of one player who makes the team win."