The Reds boss revealed on Thursday he had spoken to Mike Riley, head of Professional Game Match Officials Ltd, about decisions going against them. In particular he referenced legitimate penalty claims by Suarez which had been turned down with, on one occasion, the Uruguay international being booked for diving.
Suarez, however, insists he has to accept that mistakes happen. "There are times when the referee gets it right and others when he doesn't but that's all part and parcel of the game," he said.
"It's happened in the last few games, like against Manchester United when the penalty shout on me wasn't given and then the one on (Antonio) Valencia was.
"But talking about it doesn't solve anything - the referee has a split second to see an incident. Let's just hope that it doesn't happen again in the future."
Suarez is Liverpool's leading scorer this season with three and that lack of goals - the team have just four in five Premier League matches - has contributed to a winless start and a place in the bottom three.
Their early fixtures have been a baptism of fire for new boss Rodgers but Suarez is confident the goals and results will come.
"It makes it more difficult when your opening fixtures of the season are against strong teams like Arsenal, Manchester City and Manchester United - they are not easy games," he said.
"At the moment, we are not in the position where Liverpool Football Club has to be, which is battling it out at the top end of the league.
"But we've been a bit unlucky and I still believe - and will continue to believe - that we have a lot of quality here and a manager who is giving everyone the confidence to believe in their opportunities."