Spireites assistant manager Leam Richardson spoke after his side climbed into the League 1 playoff spots with a 3-0 win over Crawley Town.
Two Eoin Doyle strikes sandwiched a Jay O'Shea long-ranger, as the Spireites recovered from a sluggish opening half hour to collect what became a comfortable win.
Richardson emphasised the difficult nature of the game, coming off the back of the much-anticipated FA Cup fourth round match at the iPro Stadium on Saturday.
"In general they're tough games to play," explained Richardson. "Especially off the back of a game like Derby. With the amount of fans and hype behind the game on a Tuesday night.
"But I thought the fans were great again and after the first half an hour once the tempo raised a little bit I thought to a man the lads performed very well and deserved the win."
Crawley may remain bottom of the table after the loss, but Richardson was keen to point out the merits of the West Sussex side.
He said: "On paper their squad's a good squad, they're a good team they don't give up and they've got good players. If they put in as much work as that they'll be okay and get rewards.
"Full respect goes out to Dean [Saunders] and his team, staff and players because they made us work for it tonight and it wasn't an easy three-nil."
One worry coming out of the game was the second half substitution of captain Sam Morsy, who looked to be carrying an injury, but Richardson says he didn't expect it to be that serious.
Richardson said: "He got a good whack in the first two or three minutes, a dead leg. He was feeling it quite a bit.
"We'll come in tomorrow, we'll dust ourselves down and see how he is tomorrow."