The disciplinary board of the Confederation of African Football (Caf), the tournament organisers, added an extra game to the standard two-match ban for a straight red card.
Tetteh, who was an injury-time substitute against the Panthers, will miss Ghana’s final Group C match against Comoros on Tuesday (19:00 GMT).
He will not be able to feature again in Cameroon until the semi-finals – should the West Africans progress that far at the tournament.