A poor start to the current season sees the Toffees languishing in 14th place, five points about the relegation zone before the weekend's matches.
New manager Rafael Benitez, who replaced Carlo Ancelotti in the summer, is coming under serious fire.
But he was backed by owner Farhad Moshiri on talkSPORT, who believes the team will come good once frustrating injury issues abate.
In a text message read out by Jim White, he said: "'Football is about crisis one day and glory the following day. Rafa is a good manager and underperformance is largely due to the injuries.
"'Next two weeks, we will get to a full squad and, in the meantime, results will improve.
"'Rafa needs time to have his mark on the squad. He will be supported to add depth to the squad. Managers need time.
"'I have no doubt that we will have a strong second-half to the season'."
Director of football Marcel Brands, who has been in charge of the club's erratic transfer policy, is also facing big questions about his future.
Supporters are infuriated by a lack of success on the pitch, and poor communication from the club and now intend to make a stand.
The last two matches have seen a banner displayed reading: "We demand Nil Satis Nisi Optimum - it's about time our club did too."
And Everton fans are now set to conduct a walk-out protest in the 27th minute of the game, to indicate their 27-year trophy drought, and showcase their frustration at goings-on behind the scenes at Goodison Park.
A message from the organisations involved said: "27 years without a trophy is unacceptable. Show your feet on 27 minutes during the game against Arsenal on Monday evening and leave your seat.
"Let's show that the incompetence from the top at Everton Football Club cannot continue."
Paul McAlister from Toffee Blues told talkSPORT: "Evertonians are the point now, I think, where we want to get the message out to the wider football community, and the world in general, just how fed up and exasperated we are about how the club is run and how it's going about its business, in terms of on the field and off the field.
"The lack of communication in the last few years, particularly, has been very, very poor and it's just got to the point where Evertonians are not willing to be angry in silence anymore.
"We feel like we have got to take some kind of public action, something dramatic, to get the message across about how deeply unhappy we are and how we're not willing to just put up with excuses anymore."