His Burnley counterpart Sean Dyche said: "I don't think any manager wants sympathy, but I thought they were the better side and they deserved something from the game".
After scoring a last minute penalty against Tottenham Hotspur in his first appearance for the club before the worldwide break, Wood capitalised on a terrible back-pass from Lee Chung-yong to give the Clarets the lead after just three minutes at Turf Moor.
The visitors then created a number of goalscoring opportunities but were unable to finish any of them off.
Wood's second goal in as many games - in his first Premier League start - ultimately proved the distance, despite Palace repeatedly knocking on the door in search of their first goal of the season.
"Everybody who was in the stadium or sitting behind the television, I think there was only one team deserving to win and that was us", he told Sky Sports. But that's football and sometimes you don't get what you deserve.
The good news for De Boer is that he's lasted longer at Palace than he did at the Italian club.
"I had a good feeling we would score, I had confidence, but we didn't start with that confidence".
"I'm really not satisfied with the way we played".
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"We knew it would be a tough game".
But in my view, this exit would be a premature one, and could well set Palace back much further than if they just rode it out and allowed de Boer the time he needs to make things work.
They are also the first side in 93 years to lose the first four matches of a top-flight season without scoring a goal, since Preston in 1924. After 30 years in professional football I'm convinced [results will improve].
There are many questions that we are left with after today's game.
Schlupp should have levelled the scores with just under 20 minutes remaining, finding himself with space inside the penalty area, but he got everything wrong, leaning back and firing wildly over the crossbar. "That is all I can do", the former Dutch worldwide said. "We know it takes time and it is a long-term project we have here".
"Palace were the better side, they played well throughout the game".
Dyche on Chris Wood's victor: "He took it so early - I thought it was an excellent finish".
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