Nolin elected free agency Friday.
Nolin was outrighted to Triple-A Jacksonville by the Marlins on Thursday.
Nolin was designated for assignment by the Marlins on Tuesday, Jordan McPherson of the Miami Herald reports.
The Marlins selected Nolin's contract from Triple-A Jacksonville on Monday, Christina De Nicola of MLB.com reports.
Nolin signed a minor-league contract with the Twins on Friday.
Nolin signed with the Kia Tigers of the KBO on Saturday.
Nolin elected free agency after he was outrighted to Triple-A Rochester on Wednesday, Jesse Dougherty of The Washington Post reports.
Nolin tossed three scoreless innings of long relief Saturday in the Nationals' 6-0 loss to the Rockies. He scattered three walks and a base hit and struck out two in the 51-pitch appearance.
The Nationals activated Nolin (suspension) ahead of Wednesday's game against the Marlins.
Nolin will begin serving his five-game suspension Friday, Mark Zuckerman of MASNSports.com reports.