Everton's caretaker boss David Unsworth says he is "surprised" anyone would rule themselves out of becoming manager of the Toffees.
Former England manager Sam Allardyce distanced himself from the vacancy this week having previously said he would consider it.
"This is an amazing club. No matter how long I'm here I'll give my best," said Unsworth.
"The people who matter know my feelings, that goes without saying. But what will be will be," he said on Friday.
"I've spoken to the chairman every day and the owner three or four times.
"Communication is fine. If it's me, wonderful, if not I'll shake the hand of whoever it is."