Matty Waters and Ryan Astles both felt Chester should have put their chances away to claim a positive result at Wrexham.
Jordan Archer missed a first-half header and saw Chris Dunn deny him from 20 yards, while Lucas Dawson’s 25 yard hit was also well kept out by Dunn, before Wrexham edged ahead on the hour mark.
“The dressing room is really down,” Waters said. “We came out second-half and I thought we played really well to be honest.
“We’ve had chances but we’ve not put them in the back of the net. We didn’t cope with the first goal very well if we are honest.
“If one of those chances go in in the second-half, we’re in with a chance and it’s a different game. We’ve worked so hard to get into those positions and we’d have something to hold onto.
“But we didn’t adapt when we went a goal down and they’ve got the second quickly after.”
Waters, an academy graduate back in the team for the past three matches, added: “These are the games you want to be playing in. It was good to be out there today, especially to be out there with Tom.
“We’ve had a good game out there. I want to be out there playing every week and this is the first run of games I’ve had in the first-team and I think I’ve been doing well. Hopefully I can keep the shirt for the rest of the season.”