Kidd stepped in to take charge after the sacking of Roberto Mancini.
"What has gone on in the last 24 hours was a shock to the staff, and before the game I would have just taken the result, to get the three points and take second place," he said.
"It's all credit to the players - they are the ones who have had to put up with stuff off the pitch.
"I am pleased for them because it would have been a travesty if we hadn't finished second.
"I was asked to take charge for two games, and, being a Manchester lad, I couldn't say no. I wouldn't have been able to walk down Market Street if I had. You'd have to ask the players how they feel. We appreciate the fans, and they were disappointed, and we were disappointed, on Saturday.
"What you've seen is a combination of a couple of things, but I think it was a relief because it has been a tough 48 hours."