Ayre told liverpoolfc.tv: "It wasn't based on the fans' reaction. There isn't anyone at this football club who doesn't think Roy is a great coach. He was manager of the year last year and I'm sure he'll continue to do well.
"Sometimes things don't come together and don't gel and I think everybody thought that was the case with the level of defeats and the situation on the pitch. That was what drove the decision.
"It was a mutual decision and everybody here wishes him well for the future."
Ayre added: "It was after the Blackburn game. We started some conversations on Friday with Roy and his people. They went on pretty late. In the very early hours of Saturday we got hold of Kenny.
"The most important thing from the football club's perspective was that it was done with dignity. We didn't speak to Kenny before we'd reached agreement with Roy."
Ayre refused to discuss any severance payment, explaining: "Clearly we wouldn't discuss anything that private in public. We reached a mutual agreement and it was amicable from both sides."