Sheffield-born winger Chapell found the target for the second game in a row but, as at Barrow on Tuesday night, finished on the losing side in a game containing five goals.
The Blues could have no arguments about being 3-1 down inside an hour with the Imps far the better side, however it was a different game in the final 30 minutes with Lincoln relieved to hang on for the win.
Chapell conceded Chester took much too long to get going and ultimately left too big a mountain to climb.
He said: "The fans wanted a response and we wanted a response, which we thought we'd give. If we'd have started how we finished the game then it would have been different.
"I'm not sure what the problem was but we just didn't get hold of the game. Lincoln were knocking it up front to the big man and we didn't really deal with that at first and by the time we did it was too late.
"There was a lot of time-wasting and just the big boot up to the big man but to be honest we just needed to deal with it and get the ball on the floor and play our football.
"We ended the game brilliantly and we had plenty of chances to win the game so everyone's frustrated really. We believed we could win and we created the chances to win but that's how it goes.
"It was a sloppy start by us and then we get ourselves back into it and conceded again straight away so it was an uphill battle
"We'd been working on it in the week and at the end of the second-half you could tell it was working but we just couldn't get that third goal.
Chapell, a summer signing from Torquay United, insists the Blues created enough chances to get something from the game but the loss makes it two wins in 10 games and pre-season talk of a play-off challenge seems a long time ago.
Chester, whose form on the road has been disappointing, head to struggling Southport on Tuesday and need a positive result to steady the ship.
Chapell said: "If we take the last 20 minutes of the Lincoln game into the Southport game then we can definitely get the result there
"We've spoke about it as a squad and with the team that we've got I think we should be up there pushing for the play-offs and we all believe that we can do that.
"The results aren't consistent are there so I think what we need to do is get a couple of results that go our way and then push on from there.
"It's good for me to get a couple of goals in the last two games but it's a shame we've not got the results. I'd rather get the result than a goal but hopefully there's a few more to come."