Clarke elected to become a free agent Thursday, Todd Rosiak of the Milwaukee Journal Sentinel reports.
The Brewers outrighted Clarke to Triple-A Nashville on Sunday.
The Brewers designated Clarke for assignment Wednesday.
Clarke was placed on the Brewers' minor-league injured list Monday with a toe injury, Curt Hogg of the Milwaukee Journal Sentinel reports.
The Brewers reinstated Clarke (knee) from the injured list Wednesday and optioned him to Triple-A Nashville, Curt Hogg of the Milwaukee Journal Sentinel reports.
Clarke (knee) will begin a rehab assignment Sunday with Triple-A Nashville, Curt Hogg of the Milwaukee Journal Sentinel reports.
Brewers general manager Matt Arnold said Wednesday that Clarke (knee) should return by late May, Todd Rosiak of the Milwaukee Journal Sentinel reports.
Clarke underwent surgery Saturday to repair the meniscus damage in his right knee, Todd Rosiak of the Milwaukee Journal Sentinel reports.
Manager Pat Murphy said Saturday that Clarke (knee) underwent imaging earlier in the week, Curt Hogg of the Milwaukee Journal Sentinel reports.
The Brewers acquired Clarke from the Royals on Thursday, Robert Murray of FanSided.com reports.