The Frenchman was stripped of the title on Tuesday, reportedly being told he would never captain the club again in the build-up to United's Carabao Cup defeat to Derby of Old Trafford.
It marks the latest installment in a series of ding-dong battles between Pogba and Mourinho, with the World Cup winner having seemingly hit out at Mourinho's tactics following the draw with Watford at the weekend.
However, speaking on 'The Debate', Rosenior took Mourinho's side, saying that the Portuguese was left with no option but to make a stand against player power.
"Read between the lines. Pogba will never be captain of Manchester United again," the former defender began.
"I understand Mourinho's decision. You have to make these decisions. A player can never be bigger than the manager or a football club.
"When a player is speaking so candidly about the club needing to attack, play in a certain way and questioning the manager's approach, that creates problems between not only those two but also creates an atmosphere within the dressing room.
"That has to be dealt with because other players will stick their head above the parapet and start disagreeing with the manager as well.
"A manager would lose their power and the last thing a manager can do is lose their power and control of a dressing room."