Adkins suffered similarly at Southampton earlier this year.
After defeat to City last night, he said: "You don't know what goes on at football clubs and it is more prevalent that managers don't get that long now because of the demands and nature of it.
"You can't be fearful and have to believe in the philosophies that you have got. I don't know the ins and outs and just concentrate on Reading. You look from afar and don't know what is going on behind the scenes.
"I'm sure there are other managers out there who have won things and still lost their jobs. We have to understand that it is football and there are going to be demands. There is high finance involved now. Owners have every right to do what they believe is right for their football club.
"He (Kidd) is a great football man and a great man for Man City and if there are going to be changes there are good people that can pick the reins up."