The Uruguay international spent three and a half years on Merseyside, scored goals aplenty and drove the Reds towards an unlikely title bid last season.
After much speculation, he sealed his big-money move to Barcelona last summer and during his debut campaign he has contributed greatly to the Catalans’ historic treble success.
Following Barca’s 3-1 Champions League final victory over Juventus, Carragher only had kind words for his former teammate and believes winning the elite trophies at the very top is where he truly belongs.
"In his last year at Liverpool, there was the talk saying 'if we get top four, Luis will stay, he wants Champions League football. I never believed that,” he admitted.
"Luis Suarez shouldn't be playing Champions League football, he should be doing what he did tonight - winning the Champions League. That's his ability - not playing in the competition, but winning the competition. I'm delighted for him."
Will Liverpool ever have a player of Luis Suarez’s ability again?
It’s difficult to overstate just how good Suarez is, but taking into account the Reds’ decline from last season he must rank as the club’s most talented player in Premier League history.
Due to their current status, buying an outright world-class player in the mould of the 28-year-old isn’t going to happen but that’s not to say they can’t ever again possess a player of his capabilities.
With a leading scouting network worldwide, the Anfield club's only hopes of attaining the world’s top players are to buy them as youngsters and develop them accordingly.
Such a task, however, is always difficult as Europe’s leading clubs are forever on the lookout for the next big star and loan deals allow the elite sides to fill their academies with the very best talent.