The 2-0 reverse left Valencia one point above the dropzone.
Fans chanted "Corberan resign" at various stages of the game and Corberan was asked about the demands afterwards.
The coach said, “I understand the disappointment directed at the coach.
"It’s true that in the final minutes we wanted two strikers and (Lucas) Beltrán was tired. We wanted other options like (Largie) Ramazani. Hugo (Duro) is our top scorer and we’re hoping that any ball into the box will give us a point.
“I have the strength to continue. I see the team with the strength and mentality to compete. I have the responsibility to turn things around. I have the strength and energy to change this dynamic.
"I've already answered you. I have the responsibility to change this. I know it's a tough time.”
Corberan added, "The diagnosis involves improving everything we can so that we achieve a positive result within a week. I believe the team will find solutions and deliver results."