Barcelona said they would appeal the ban, arguing that it was not Suarez who uttered those words.
Barca won the first leg of the Copa de Rey last-16 tie between the sides 4-1 on Wednesday as Espanyol had two players sent off and were lucky to escape further punishment as goalkeeper Pau Lopez's violent stamp on Lionel Messi went unseen.
Suarez, who was also booked for a clash with Lopez, was punished for sparking a brawl in the tunnel after the game that security personnel had to break up.
"That provoked a clash between players from both clubs forcing security personnel present and the managerial staff from both teams to intervene."
Suarez's controversial career has seen him receive four long bans -- three for biting opponents and once for allegedly racially abusing French defender Patrice Evra during his time at Liverpool.