The Whites and Eagles approach Saturday's 3pm kick-off side by side in the Premier League table with 12th-placed Leeds above 13th-placed Palace on goal difference with the pair both on ten points.
Five days after Monday night's 4-1 reverse at home to Leicester City, Cooper now expects another tough test at Selhurst Park against Roy Hodgson's Eagles with the skipper calling on every one of his players to be at "100 per cent" in a bid to take all three points back to Yorkshire.
“They have a good manager, Roy Hodgson has been around the Premier League for a very long time, he’s very experienced and knows the league inside out," Cooper told LUTV.
“He has some unbelievable players at his disposal, so we know how tough it is going to be and we have to stand up to that challenge.
“If we do that, in more areas of the pitch than they do, then we have every chance of winning the game.
“We have to have every player at 100 per cent and that will be the message.”
Cooper added: "With the quality and the teams we are coming up against, you can’t switch off for a second and you’ve got to be thinking about your job at all times during games.
“The boys have taken well to it, though, and we’ve gained confidence from some good results and we’ve got to keep that confidence there.
“We’ve got to play with no fear, play with a freedom and put our stamp on the games and more times than not, we have done that.
“Hopefully the Leicester result is just a blip and we can go and get a positive result against Crystal Palace at the weekend."
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Thank you Laura Collins