Warriors boss Cameron George is opting not to comment according to Australian media reports, but other clubs have hit out.
The Sydney Morning Herald reported the Eels were "scrambling" to get at least four exemptions for the team naming today.
Rabbitohs chief executive Blake Solly said his club had a long injury list yet followed the bubble directive.
"They (Parramatta) should have to face the consequence," Solly said of the Eels.
Penrith chief executive Brian Fletcher said: "When everyone does the right thing, it's pretty hard to have an exception for one club.
"You find it difficult for one club to get special treatment. They would be fine if they did what we all did and pulled our players out."
Player safety means the NRL is under a lot of pressure to allow the Eels to have a full match day squad of 17.
They have lost young Kiwi Dylan Brown and Marata Niukore to suspension, and hooker Reed Mahoney is under a concussion cloud. The Eels could be left with only 16 eligible players.