John Obi Mikel, Didier Drogba and Michael Essien have all been sent off during Grant's 19-game spell in charge of the club and he claims Chelsea are being singled out for special treatment.
Avram said: "If you look at Arsenal's players on Sunday, who ran up to the referee to complain more - ours or theirs? It's part of the game.
"If players do that it is not important. The right message would be how we can protect players better. There were bad fouls on Sunday, including the one on John Terry.
"They need to prioritise. I have a feeling that it's easy to punish Chelsea, but there are bad challenges against us that are not punished.
"At the moment, I believe there are too many incidents, but I cannot tell you why. I just don't know."