The Reds boss claims that if the Uruguay international goes to ground he gets accused of diving but if he stays on his feet he is not getting the decisions.
"The likes of Suarez has had a couple of good penalty appeals, he hasn't dived they have been legitimate, and he's actually got booked," said Rodgers, referring specifically to the last two matches.
"He went down at Sunderland and it looked a clear penalty and he ended up getting booked for it.
"I'm not sure [Suarez's reputation is influencing officials] you'd need to ask the referees but he is a wonderful talent and irrespective of whether he goes down if it's a penalty, it's a penalty.
"What I have seen, he certainly doesn't ever look like he is going to get a decision and that is something which would bother me going forward.
"It would be a shame if players who respect the rules and managers who are asking players to stay on their feet and not dive are not getting the decisions because of it.
"I think it is important that referees understand that.
"It has been a criticism of the last few years of players going down too easy - it is not something we want to encourage but if you're not going to get decisions because of it players may do that."