The suspensions, together with injuries to Lloyd Perrett and Darcy Lussick, left Barrett scraping the barrel of his front-row depth for today's round-two clash with South Sydney.
"Obviously it's not ideal losing the three blokes on top of Lussick. It's just something I've got to deal with. I'm happy with who we've brought in," Barrett said.
"I'm confident and comfortable with the blokes we've brought in and all the blokes on the bench are real goers. They won't die wondering."
Barrett also revealed he had met with referees boss Tony Archer on Thursday to discuss decisions that left his side with just 38 per cent possession against Parramatta.
The penalty count in the match was seven-to-five in the Eels' favour. "I thought we did have some calls that were a bit harsh and probably some calls that didn't go our way. But in saying that, that's not to blame for our lack of respect for the ball," he said.
"He's in a tough position, too - you can't turn back the clock. Hopefully we don't get so many of the ones we did in that game."
The Sea Eagles take on a Rabbitohs side hit by the loss of captain and fullback Greg Inglis for six months to a knee reconstruction.
However, they could be boosted by the early return of halfback Adam Reynolds, who has trained for the past few days after undergoing surgery on his appendix.
"We'll prepare that he'll play," Barrett said.
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