Williams' agent, Evan Krakower, told Cleveland.com that Williams plans to appeal the suspension, describing the discipline as "excessive'' and "unwarranted.''
The team announced the suspension on Wednesday. Williams sat out Cleveland's first exhibition game Friday night against the Green Bay Packers after suffering an ankle injury in a scrimmage the week prior at Ohio Stadium in Columbus.
Although the Browns expected Williams to be ready for the exhibition, he reportedly decided that his ankle was too sore for him to play. The penalties were the result of Williams' refusing to play in that preseason opener in Green Bay, according to Cleveland.com. The third-year cornerback hasn't practiced for the Browns since he missed the exhibition.
Coach Hue Jackson addressed the issue after practice on Tuesday but wouldn't confirm any details.
"We'll talk about that at a different time," Jackson said. "I just think there are a lot of mixed messages that are going on, as far as all that's concerned. I think we'll deal with it, and I'm sure we'll all talk about it at the appropriate time."
Information from The Associated Press contributed to this report.