Coleman believes the Sky Blues have an outside chance of reaching the play-offs and his side's next three matches are against teams currently in the top eight, starting with Sheffield United's visit to the Ricoh Arena on Wednesday night.
City then travel to Bristol City and Preston next week in a run of games that could make or break their top six aspirations.
"They are the sort of games we need now because they are against the people above us and so it gives us the chance to take points off them," said Coleman, whose team are on a six-game unbeaten run.
"I am really looking forward to the rest of the season because we have given ourselves a fighting chance.
"There is a good feeling at the club right now, the team spirit is good and the confidence is growing. We have just got to keep doing what we have been doing because at the moment I don't think any team is going to relish playing against us, home or away."