Further off-the-field problems meant it was only confirmed that City would be playing at the Ricoh Arena on Thursday, but such issues appeared far from anyone's thoughts when Cyrus Christie fired the home side into a 13th-minute lead that they held on to in a determined display.
Pressley said: "The bottom line is that we are a football club. Often in periods like this, the football gets overlooked but today the players deserve special, special praise.
"I have only been here for four games prior to this one and Thursday's news from the Football League was a real blow to myself.
"For many of those players it is 39 games they have endured this season and after what I thought was hammer blow, the reaction and response from the players was incredible.
"Our first-half performance by all accounts was our best of the season. We passed the ball with great purpose but great patience at times and our work out of possession was terrific.
"We spoke about the points deduction before the game and the response we got is what I expected from them because in the games I have been here they have shown that type of character."
Rovers manager Brian Flynn said: "The better side led at half time but we transformed it in the second half. We deserved to get something because we had that many golden chances. Unfortunately we didn't take any of them.
"We transformed things at half time. We needed to make changes and tactically I thought we got it spot on. They used the spare man very effectively against us and that caused us problems. They were better than us but we sorted it out and there were a lot positives in the second half.
"They (Coventry) most certainly looked like a wounded animal in the first half. They looked as if they wanted to put things right on the pitch and that is credit to the manager and the players."