The Frenchman was sent off as United beat Arsenal 3-1 in a thrilling clash on Saturday.
Pogba tried to stretch for the ball in a challenge with Hector Bellerin but landed late with his studs on the back of the Spaniard’s knee.
United decided yesterday not to appeal the three-mach ban which comes with the dismissal, meaning he will now miss the Manchester derby on Sunday (4.30pm).
And Ramsey, who was a guest on last night’s The Debate Show, thinks the Red Devils will struggle to replace their £89million midfielder.
However, he has backed Jose Mourinho to find a solution, which will probably come in the shape of Ander Herrera.
“I think he will be a big miss,” Ramsey said.
“He’s growing every game.
“His price tag would suggest he is a continual match winner.
“He’s got the right manager to get the best out of him.
“He just went over the top when he can pulled out.
“Whatever happens, United will find a solution.”