Frank de Boer has been sacked as Crystal Palace manager 10 weeks after the Dutchman was appointed to replace Sam Allardyce at Selhurst Park.
De Boer suffered four defeats from his four Premier League matches against Huddersfield, Liverpool, Swansea and Burnley, in which Crystal Palace failed to score a goal.
They are the first team in 93 years to have begun a top-flight season in such a fashion.
Palace have made attempts to persuade Sam Allardyce to come back but the former England manager has been resistant, making Roy Hodgson the likeliest candidate to take over.
The Eagles are currently 19th after losing their first four games and failing to score a single goal.
Club chairman Steve Parish appeared to defend de Boer’s position following Sunday’s 1-0 defeat at Burnley when he wrote, “We are four games in, it’s a terrible start but we have to stick together.”
Hodgson, who has been out of management since England’s Euro 2016 exit ended his time in charge of the national team, is as short as 1/7 with some bookmakers to be the next Palace boss.
Palace are aware of Hodgson’s enthusiasm to come back to the club where he was a youth-team player.
Palace have so far conceded seven goals with defeats to Huddersfield, Liverpool, Swansea and Burnley.
Ahead of the home match with Southampton on Saturday, Parish added: “Anyway so much for not answering people when we lose. Tough spot this. Looking forward to turning it round Saturday. Up The Palace!”
He also retweeted a post from injured Palace forward Wilfried Zaha, who has been out since the opening day of the season with a knee problem.
Zaha, who was not fit to play at Burnley, wrote: “It’s easy to point fingers right now which won’t solve anything! Let’s just stick together and get through it like we always do #cpfcfamily.”
Hodgson’s erstwhile No2 Ray Lewington was on Palace coaching staff for three years in the mid-1990s and would presumably accompany the 70-year-old were he to be appointed.
De Boer’s reign is the shortest of the Premier League era. Les Reed had seven games in charge of Charlton in 2006.