Luke Joyce opened the scoring with a long-range curler before Andy Procter doubled Stanley`s advantage. Sean McConville bagged his 13th league goal of the season to condemn the Bantams to a fourth league game without a victory.
Coleman said: "We scored three fantastic goals and played some really good football in the second half which, although we haven't scored, we have relieved the pressure.
"We would have liked more goals but there were some great performances out there. Joyce scored a great goal to open the scoring but we know Luke has that in his locker. Even when he was out of the side at the start of the season he showed the same attitude, and that's a godsend for a manager.
"Now we just have to keep going. We have Shrewsbury on Monday and that's another three points for a win. We`ve got to do our best in the final three games and just see where it takes us.
"The players we have here love training, are enthusiastic and have a great desire."