"On one hand, there is no aggression in the strictest sense. It was a struggle between two rival players, who brought together their heads and it did not lead to a clearly violent event," read a statement from the Spanish FA.
"On the other side, the rival player has clearly exaggerated the effect of the struggle, feigning to have received a violent headbutt. Yet, Gary Medel was sent off as if he were guilty of a violent act.
"Consequently, a clear technical error is apparent as the facts of the case do not warrant the punishment given."
Lahoz has received a one-game ban and will sit out the La Liga contest between Real Madrid and Celta Vigo as a result.