The club's board of directors met after Deportivo drew 1-1 at home with La Liga's bottom club, Cordoba - their eighth straight match without a win.
The result left the Galician club just two points clear of the relegation zone with eight games left.
Deportivo's decision brought Fernandez's stint in charge to an end almost exactly nine months after he was appointed on July 10, 2014.
Fernandez won just six of 32 competitive games in all competitions with Deportivo.
"Deportivo La Coruna want to sincerely thank Victor Fernandez," read a statement from the club.
"Your stake has been important in the return to La Liga, commitment to the White and Blues project and the work done since coming to the club until today.
"When the moment comes that a new coach has been hired, Deportivo's president will appear before the media for a presentation."
Deportivo needed an 87th-minute own goal from Cordoba's Florin Andone to claim a point on Wednesday, after the same player had given the visitors the lead nine minutes into the second half.
The one-time Spanish champions have three away matches in their next four fixtures in La Liga as they look to fight relegation.
‘The pure simplicity of the way Slot has managed the squad is probably the biggest thing I could say about him. It’s not broken, so let’s get on with it’: Liverpool legend full of admiration for Jurgen Klopp's successor at Anfield
‘I trained at Spurs and thought they’d give me a chance. But I received a letter thanking me but saying they didn’t think I was good enough – I was gutted’: How Tottenham missed out on signing Wales legend John Toshack
