The Czech coach is of the opinion that the Giallorossi are not given the preferential treatment other big clubs receive, insisting the team are victims of unfair decisions
The 65-year-old believes that his team carry less political power than other big clubs and as a result has to work harder on the pitch.
"It's not me who is an irritant for the establishment, it's Roma," he told La Gazzetta dello Sport.
"The club is not included in the group that counts for political weight. In order to get into the top teams, we have to work better than the others on the field and earn power.
"The referees can whistle two or three big decisions against you."
Zeman refused to speak with the media after his side lost to Chievo 1-0 last Sunday, but he did admit that the fault for a number of lost points this season does not lie entirely with referees.
"Roma have not achieved what they could have. I would've been happier with the 15 points we lost along the way, though some of it was our own fault," he said.
The Giallorossi currently lie in sixth place in Serie A, having amassed 29 points from 17 fixtures.