Frank de Boer is now 1/4 with Sky Bet to be the first Premier League manager to leave after Crystal Palace lost 1-0 at Burnley.
Match report
Frank de Boer's short reign at Crystal Palace was plunged into further turmoil after an early blunder from Lee Chung-yong paved the way for his side's fourth straight Premier League defeat.
Burnley new boy Chris Wood pounced on a dreadful back-pass by the South Korean to put his side in front with less than three minutes on the clock and the hosts held out to leave De Boer's reign hanging by a thread after a 1-0 loss.
The Dutchman, who enjoyed such a golden spell with Ajax, is just 1/4 with Sky Bet to be the first Premier League manager to leave his post this season having been offer at 4/7 prior to kick-off.
Palace have now been trimmed as well to 6/5 for relegation as they prop up the standings with no points and no goals.
Palace perhaps deserved something from a hugely-improved performance - and almost got it when Scott Dann somehow contrived to head wide from point-blank range in injury time - but it may not be enough to save the Dutchman his job.
De Boer had made three changes and reluctantly switched to a 4-4-2 formation in a bid to kick-start his season, but looked on aghast as Lee's horrendous early error piled more pressure on his beleaguered side.
In no danger wide on the left flank, Lee, making his 100th Premier League appearance, turned and played the ball back in the direction of goalkeeper Wayne Hennessey, oblivious to the lurking threat of the in-form Wood.
Served up with the simplest of chances, the New Zealander reacted clinically by firing past Hennessey first time from the edge of the box, giving his side a dream start.
To their credit the visitors refused to buckle and were almost level within a minute when Dann took aim from the right side of the box and his deflected shot was booted off the line by Matthew Lowton.
Burnley suffered a setback just past the half-hour mark when Heaton was forced off with a shoulder injury after landing awkwardly, ensuring a Premier League debut for 25-year-old Nick Pope.
Palace had two chances in the 71st minute, substitute Levi Lumeka just beaten to a Townsend cross by Lowton, then Jeffrey Schlupp blazing a fine chance for his side over the bar from the middle of the box.
But the home side came even closer two minutes later, when substitute Ashley Barnes drifted in from the right flank and unleashed a low, curling effort which was superbly kept out by a diving Hennessey.
Benteke was denied by the advancing Pope in the 78th minute then Dann served up his desperate miss to ensure another dismal top-flight afternoon for De Boer and Palace.
Match reaction
Crystal Palace boss Frank de Boer on the outcome: "I think there was only one team deserving to win, which was us. It is football, and sometimes you don't get what you deserve.
"But we can also blame ourselves, with how we gave the goal away, and not scoring our opportunities."
De Boer on how Palace went behind: "Of course, you don't expect that. I said before the match I had a good feeling that the squad have confidence, but they didn't start with that confidence, and maybe that is the result of the goal we conceded.
"After that we played how we can play, sometimes with long balls and sometimes on the ground. We fought well and created chances, didn't give anything away and controlled the game.
"When the referee whistles for the last time and you think, 'we didn't score and we don't have any points', it is unbelievable when you see this game.
"The most important thing I think is if you play every week like this, you will get what you deserve, and that is going to be points. But football is about scoring goals, no doubt about it, and we have to do that much better."
De Boer on his future: "I am just focusing on what I can control and so are my staff and my players. (The future) is for other people to decide but while I'm the manager of Crystal Palace I will give 100 per cent.
On Crystal Palace's overall performance: "We have to reward ourselves and we didn't do that today. I am disappointed about the result but I am not disappointed about how we played.
"I think this is the starting point, because usually if you create that many chances against any opponent you will get what you deserve, and today we didn't.
"But we have to look in the mirror and be responsible that you have to take the chances, and you get punished when you don't. But if you look all over at how we showed spirit, I think we were quite dynamic. What we showed today gives us a lot of hope for the future."
Burnley boss Sean Dyche on Palace's display: "I don't think any manager wants sympathy (but) I thought they were the better side and they deserved something from the game today.
"It is fair to be honest and I thought they were the better side. I told him so (but) I don't feel sorry for anyone in the position - we all know the pitfalls."
Dyche on Chris Wood's winner: "He took it so early - I thought it was an excellent finish.
"It isn't just his finish because we know all strikers want to score goals. It is his all-round game - in the end he is working in the corner."
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