Potters boss Tony Pulis condemned a blatant dive by the Uruguayan striker towards the end of the 0-0 draw as "very, very disappointing".
Pulis has previously called on the Football Association to ban players guilty of simulation, while Suarez himself has been accused by some of going down too easily.
He said: "You have got Suarez falling over in the box second half which was really, really disappointing. I think that should be highlighted, as I have said before."
Pulis contrasted Suarez's dive with Glen Johnson's reaction to a strong Stoke challenge.
He added: "There was a challenge in the first half in front of us, Jon Walters and Glen Johnson both went up for a header, it was a proper old-fashioned challenge. Glen Johnson did absolutely fantastic, just bounced back up on got with the game, it was a proper, proper challenge.
"I went over to him and said 'well done, brilliant' - not only did he play exceptionally well but his behaviour was fabulous."
Stoke last week