Accrington boss Paul Cook stayed silent on an alleged handball from Jack Lester who scored twice in Chesterfield's 4-3 win.
Lester and Marc Richards gave the hosts a two-goal advantage before Rommy Boco and Peter Murphy restored parity. Lester and Boco then traded goals but the points were settled when Terrell Forbes struck eight minutes from time.
Lester appeared to handle in the build-up before he put Chesterfield 3-2 ahead but Cook refused to criticise the officials.
"Referees have a hard job and they make decisions in games which can go for or against you and here they have gone against us," he said. "They get them right and they get them wrong and we've been on the end of a couple of bad ones but that's football."
"We continually gave them a leg-up to help them out but we were terrific and I thought we dominated the game. We created good chances and should have scored more goals but unfortunately we have gone away with nothing and that's football.
"I was pleased with the lads but also disappointed with them because of some of our defending. To come away and score three goals you should not be losing."