The Nationals released Flores from his minor-league contract July 20.
Flores signed a minor-league contract with the Twins on Thursday and was assigned to Triple-A Rochester, LaVelle E. Neal III of the Minneapolis Star Tribune reports.
Flores has cleared waivers and was outrighted to Triple-A on Monday, Jeff Fletcher of the Orange County Register reports.
Flores was designated for assignment by the Angels on Friday.
Flores had his contract purchased from Triple-A Salt Lake on Tuesday.
Flores was assigned to the Angels' minor-league camp Tuesday.
Flores received an invitation to major league spring training Thursday.
Flores signed a minor league contract with the Angels on Wednesday, the Orange County Register reports.
Flores was designated for assignment Friday.
Flores is hitless in six attempts with two walks since the beginning of August.