The German, who made over 200 appearances for the Reds, has criticized the club's stance on the matter and called for the Uruguayan to concentrate on his football
The Uruguayan was banned for eight games by an FA tribunal after being found guilty of racially abusing Manchester United defender Patrice Evra during a match at Anfield in October.
The forward was strongly backed by the club and then manager Kenny Dalglish, even after the former Ajax man failed to shake Evra's hand prior to the return fixture at Old Trafford later in the season.
Suarez stated in a recent interview that the "misunderstanding" between he and Evra was: "all arranged against me again, as it had happened with the punishment."
But Hamann, who made over 200 appearances for the Merseyside outfit, feels that the striker should finally draw a underneath the incident and dismissed talk of a conspiracy.
"Suarez is not doing himself any favors with today's statement he should leave it now move on and concentrate on football," Hamann wrote on Twitter.
"I've not got a problem if he talks about his feelings and what he went through but he should leave Man United out.
"[Wayne] Rooney got banned for swearing into a camera so much for the conspiracy ...I think everybody needs to relax a little bit.
"That Suarez case was handled pathetically by LFC [Liverpool Football Club] hope BR [Brendan Rodgers] puts a lid on straight away as it cost the club a lot of points last season."