The striker has enjoyed a prolific season at Anfield, scoring 29 goals in a fantastic campaign which has seen Liverpool put themselves at the heart of the Premier League title race.
Rivals Manchester City have been linked with a move for the Uruguay international, but Ayre is happy with the way Suarez has bounced back from several controversial incidents and expects the striker to commit his future to the club.
|21/10||Liverpool are 21/10 with Bet365 to win the Premier League|
"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, [transfer speculation] 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."
Suarez’s future at Anfield was in some doubt at the beginning of the season, and it looked like the 27-year-old would seek an exit from Merseyside in a search for Champions League football.
But, with a top-four finish all but guaranteed for Brendan Rodgers’ side, Ayre feels the striker is best suited for European football with the Reds.
"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."