The suspension, revealed by the Football Association, relates to a ban incurred while at former club Juventus.
“He was booked twice in last season’s Coppa Italia, which results in a one-game ban,” said the FA. “This has been transferred to England.”
France midfielder Pogba, 23, moved to United for £89m.
He was booked in Juventus’s last game of the season, which is why the ban has carried over.
He was already a doubt to make his debut due to a lack of match fitness.