Cash-strapped Stanley set up a home tie against Bury courtesy of goals from Gary King and Dean Winnard at the Crown Ground.
"We were a bit flat-footed in the first half and I didn't feel either team showed their best," said Coleman.
"In the second half we got our two goals and then fell a bit idle, and that's when Shrewsbury had their best spell and if they had scored then it could have been a very different game.
"In the end I thought we closed it out quite professionally and we certainly passed it better in the second half and created more chances.
"We were stretched to the bare bones so we were pleased to come through the game relatively unscathed."