Benitez did not make much sense as an option for Everton from the start, although they started well enough eventually it fell apart. They are in the bottom 5, safe from relegation for now but way below the standard of the club of such stature.
In my opinion, Everton should have fired Benitez a long time ago, indeed at the beginning of the season Everton performance was quite impressive by successfully winning consecutive wins, but Benitez predictable strategy has made Everton continue to sink, and even in 13 matches they only won 1 time, right?
That's a pretty bad achievement for a team as big as Everton? From some media that I read, there are several names that might replace Benitez at Everton, Gattuso, Mourinho, Martinez, Rooney and Lampard.
In my opinion, the most suitable candidate to coach Everton is Martinez, because Martinez, who had coached Everton in the past, has proven to be able to make Everton a club that was feared by his opponents, Martinez's contract with the Belgian National Team will expire in June, this could be an opportunity for Everton to return to work same with Martinez, while Lampard and Rooney, I seem quite doubtful they will be able to revive Everton performance because of their quite minimal experience as coaches of big clubs.