"We could have got a draw but I don't think we deserved to win it," said Coleman to the club website.
"I am not going to blame it on the penalty. None of us expected him to miss but it happens in football - the best players in the world do it.
"Swansea are a good side but just as we did in midweek, we ended up playing on the back foot.
"We can better than that and I want to see a reaction at Blackpool next week."
Coventry City are ninth in the Championship table with seven points from four games. Middlesbrough lead the division from Newcastle. Both sides have ten points.
Coventry City are ninth in the Championship table with seven points from four games. Middlesbrough lead the division from Newcastle. Both sides have ten points.