Frank Lampard lost his final four home league games as Everton manager
Defeat at fellow strugglers West Ham United on Saturday was Everton's ninth loss in 12 Premier League games.
They are second from bottom of the table with 15 points from 20 matches, above Southampton on goal difference.
Former England midfielder Lampard, 44, replaced Rafael Benitez in January 2022 with the team 16th in the table and helped Everton avoid relegation.
Everton are now looking for their sixth permanent manager in five years.
--- Courtesy of BBC Sport