The Sky Blues manager admitted that he was "made up" with the result that helped move his side into 10th place in the table.
"I'm made up because Tranmere have been flying this season and they've only lost four games all season," he told the club's official website.
"We stuck to a good set piece routine and I'm pleased for Leon [Clarke] because he's missed a few chances recently and he's capable of scoring goals.
"We did more of the kind of things that I expect us to do but at times I thought we probably gave Tranmere the opportunity to attack us and it's come down to Joe Murphy making a couple of saves and a scramble to keep hold of the points but I'm still made up with the win."
Clarke scored the only goal of the game in the 20th minute to end Tranmere's run of four league victories on the spin.