Nine of the 10 Week 4 matches have now been played, with West Ham United and Huddersfield Town featuring on Monday. Our live coverage lets you follow all the key moments as they happen.
Dyche is so deeply embedded in the Burnley project that he probably has a job for life if he wants one - while De Boer finds his own position in jeopardy after just four pointless Premier League games.
But Wood was not the only hero on the day as Burnley had to dig deep and ride their luck at times to keep a first clean sheet in the league this season and consign Palace to a fourth successive defeat without scoring a goal. Sitting at the bottom of the table with a woeful 0 points, Palace are desperate for a result.
Christian Benteke then headed just wide from a cross from the unsafe Andros Townsend before James McArthur nodded another effort past a post from a sixth corner inside the opening 23 minutes. Their methodology - set-pieces and an aerial attack - may have owed more to Sam Allardyce than his successor, but it nearly succeeded.
In previous seasons Crystal Palace have relied upon the more pragmatic approach of seasoned managers like Tony Pulis and Sam Allardyce to rescue them from relegation.
Wood was making his home debut for Burnley.
3' GOAL! Burnley 1-0 Palace.
After just three minutes De Boer was subjected to the schadenfreude of taunts about being "sacked in the morning".
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Wood was a player in demand during the recent off-season, after an impressive campaign with Leeds in the second-tier Championship, where he scored more goals (30) than anyone else.
Steve Parish seemed to be very matter-of-fact about the loss today, but continued to defend the club in their efforts to redeem themselves.
Sean Dyche has backed the decision to close the Premier League transfer window before the start of next season despite Burnley abstaining from Thursday's vote.
Finishing off, De Boer reiterated: "After six months, you'll see you're getting more back in every game". They are sorely missing Wilfried Zaha, but the winger might not return for this game.
De Boer's frustration with the outcome of the game was clear in his post-match interview with Sky Sports.
That confidence may be misplaced but De Boer was defiant.
Having secured top flight football for his club last season, Dyche, like so many Clarets' fans, would have been hoping they'd not be starting the next season without Michael Keane and Andre Gray - perhaps the two most talented and recognisable members of his playing staff.