The Uruguay striker was linked with Manchester City yesterday.
"There has been a lot written about Luis and he is a fantastic individual and we know he loves this club and the fans and has repaid anything he has done wrong in full," Ayre told BBC Radio Five.
"We have always been supporters of Luis and he has stuck with us and is having probably the best season of his career.
"All the conjecture which went around last summer leading up to the January window was dispelled by the fact he signed a new contract.
"I think when you have a player like Luis, that is going to be a perennial issue.
"The important thing is we remain committed together. We have supported Luis through thick and thin and he has done the same by signing up to a new long-term contract recently.
"We would expect that to continue, but we'd also expect people to come in and rattle our cage every transfer window.
"The most important thing was Luis said from the outset, when people started showing an interest in him, he wanted to play Champions League football and where better to play that than England's most successful Champions League team?
"We love having him as part of the club and I know he loves being here so we would expect that to carry on.
"We don't want to sell Luis Suarez and we've been consistent with that in every transfer window since he came here.
"We are a team on the up and he is a fundamental part of what we are trying to achieve.
"We would never wantonly sell Luis Suarez."