The Red Sox have won just one of five manager challenges so far.
"I don't know what's going to happen but something clearly has to happen," Peavy said.
Peavy was asked if he thinks maybe the umpires don't want to show up one of their own by reversing a call.
"I just want explanations," Peavy said. "'We didn't have the replay' is what we got in New York. Come on. Then we're not ready for replay if that's the case. And then today — on a call that's obviously close, I'll give it you that it's close — but … what I think we all saw, which was him touching the plate before, it's just extremely frustration when that decides ballgames.
"We agreed to replay to get the calls right," he added. "That's the reason we agreed for this to happen. And to not get them right, I don't want to hear anybody's explanation. I know what I see. … Dustin Pedroia was clearly safe."
Peavy said he was a proponent of replay.
"Who isn't supportive of getting calls that decide the ballgame, is what we try to do," Peavy said. "If these calls decide the outcome of the game, let's get them right. I have no problem with slowing the game, even stopping the game, for that to happen. When you go through that and you don't get the call right, which has happened on numerous occasions against us, I don't know how you want us to have a good attitude."