The Uruguay and Liverpool striker has credited the Dutch champions with improving him as a footballer and is keen to go back to Amsterdam before the end of his career
The Uruguay international spent three-and-a-half seasons in Amsterdam, lifting the Eredivisie title and scoring an astonishing 81 goals in 110 league matches.
And the 27-year-old, who has enjoyed a double award-winning campaign on Merseyside this season, says he is still "crazy" about the Dutch giants and keen to play for them again in the future.
"I've always said on one day I will return at Ajax," Suarez told Helden magazine. “Even if the manager doesn't want me, I'll go. For sure!
"Ajax was a very important step in my life. My wife Sofia and I are crazy about Amsterdam and the lifestyle, the respect from and for everyone.
"We had a happy life and could live there in peace. We walked a lot through Amsterdam."
Suarez was named the Professional Footballers' Association's and Football Writers' Association's Player of the Year after a prolific season for Liverpool and credits his education at Ajax for helping turn him into one of the best players in the world.
"Ajax was the ideal club for me and I learned a lot there," he continued. "I credit Ajax for teaching me to use both feet, but also how to play without the ball and how to be a team player.
"[Former manager] Martin Jol gave me a lot of confidence. I was honored when he made me captain of the team and I felt responsible."