Everton chairman Bill Kenwright insists they can still qualify for Europe this season.
They are propping up the rest of the Premier League after failing to win any of their opening six matches.
But lifelong supporter Kenwright said: "I can only say as a fellow fan I don't believe we will be down there much longer.
"The name of the game isn't to get out of relegation trouble, believe me, but to get up towards the European places.
"I know that's what everyone, especially the manager, is aiming for.
"We're in a state of shock rather than a state of crisis."