Sean McConville opened the scoring and Terry Gornell bagged a brace as Stanley sunk the Imps, who had substitute Scott Kerr sent off in the 71st minute when he flew into a tackle on Chris Turner and saw red in a game which had several flashpoints.
Coleman said: "We scored three magnificent goals and Terry Gornell was superb - he always gives 100% and works hard and deserved his goals.
"But I didn't think it was that convincing - we didn't deserve to be 2-0 up at half-time and we sat back when we were 2-0 up and let them have a few chances. If they had taken one of them then we would have been under pressure.
"Once they got their player sent off, it could have been four or five.
"It's another clean sheet for us - we have only conceded one goal this season - and I am just as pleased with that."
Source: PA
Source: PA