Results elsewhere meant Eibar will return to the second division next term along with Almeria, who were condemned by a 3-2 reverse at home to Valencia, and Cordoba, who were already down.
"Garitano announces that he is leaving Eibar because he has not achieved the goal of staying in the first division and a cycle has come to an end," Eibar said on their Twitter feed.
The tiny Basque club looked on course for another season in the top flight around the turn of the year but their form collapsed and Saturday's victory was their first in eight outings.
(Reporting by Iain Rogers, editing by Toby Davis)
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