The Swede picked up his fifth caution of the campaign at the Liberty Stadium and will therefore have to sit out when the Gunners travel to Old Trafford on November 19.
Ibrahimovic, 35, ended his goal scoring drought for Jose Mourinho’s men by netting twice against Swansea with two first-half strikes.
The marksman had previously failed to find the back of the net since the start of September against Manchester City, but got back to goal scoring ways with a fine double on Sunday.