Perez made comments about the front office as well.
"It's not just ownership," Perez said. "They don't make trades. It's the GMs. It goes hand in hand. ... Josh Willingham would look great in this lineup. They didn't want to [pony] up for that last year. That's the decision they made, and this is the bed we're laying in."
The Indians, who went 5-24 in August, are in fourth place in the American League Central behind the White Sox, Tigers and Royals.
"While we work to understand various perspectives, we strongly disagree with Chris' comments," Indians general manager Chris Antonetti said. "Nonetheless, we are not satisfied with our recent results and our entire organization remains committed to fielding winning teams and that is the standard by which we will continue to operate."
It was not the first time Perez, an All-Star this season, has been outspoken this year.
He was fined by Major League Baseball in April for a message posted on his Twitter account following a bench-clearing incident against the Royals. On May 19, he spoke about Cleveland's low attendance at Progressive Field and riled up Indians fans. In June, The New York Times published an article in which Perez criticized the NFL's Cleveland Browns' fan base. And on Aug. 18, prior to a game in Oakland, he had a confrontation with an A's fan.
Asked about the comments he made to FoxSports.com, Perez declined to say anything more.
"That's all online, right? Well, there you go," he said on his way out to batting practice prior to Wednesday's series finale against the Tigers.
Indians manager Manny Acta said he had not seen or heard what Perez said during his pregame session with the media. After being informed of what he had said, Acta replied: "That's his opinion."
"We all have different DNA's. We just have to live with each other," Acta said. "You deal with it the best way we can.
"I really don't pay attention to much of that stuff. What really concerns me is that in the ninth inning, when he needs to save the game he comes in and gets it. The rest of the stuff we handle internally."