Wide World of Sports understands that the Eels still have two spots available in their top 30 squad, a position that was established in case winger Semi Radradra returns from a rugby union stint.
Pritchard, 34, managed eight games for the Eels last season after returning from the English Super League where he spent a season with Hull FC.
The Eels forward had previously played with the Bulldogs (2011-15) and Penrith (2003-10) and most recently represented Samoa at the Rugby League World Cup.
Pritchard was keen to play for the Eels upon his return to the NRL to link up with his younger brother Kaysa Pritchard, who managed 15 games for the club in 2017.
It is believed Parramatta will give Pritchard time to consider his future, after he failed to turn up to training on Wednesday which also marked Jarryd Hayne's return to his old club.
"I don't just want to go around and make up the numbers and be a fossil," he said.
"I'm confident enough that I can fit into the team and do my job, but we'll see what happens.
"I'm very grateful to Parra for giving me an opportunity and a chance."