"[MLB] sent me the video," Cain said before Sunday's game against Detroit, "... Pretty much everybody said I had no chance [with the appeal]."
Manager Ned Yost used Jarrod Dyson in the lineup on Sunday in center. Dyson likely will play there again Tuesday.
"We got a short bench, just two men," Yost said. "But [Orlando] Calixte could play outfield in an emergency."
Cain said he believes the Royals' fighting days are over.
"I definitely think it's past us," he said.
Cain said his friends and family watched the video of him scuffling with White Sox right-hander Jeff Samardzija.
"They were pretty surprised," Cain said. "They never seen me like that. It takes a lot to get me mad."
Jeffrey Flanagan is a reporter for MLB.com. Follow him on Twitter at @FlannyMLB. This story was not subject to the approval of Major League Baseball or its clubs.