The Cubs outrighted Romine to Triple-A Iowa on Wednesday.
Romine was designated for assignment by the Cubs on Monday, Tim Stebbins of NBC Sports Chicago reports.
Romine is starting at shortstop and batting eighth in Sunday's game against the Marlins.
Romine exercised his opt out Thursday, Dan Hayes of The Athletic reports.
Romine agreed Tuesday with the Twins on a minor-league contract that includes an invitation to big-league spring training.
Romine's contract was selected by the Rangers on Thursday.
Romine signed a minor-league contract with the Rangers on Tuesday.
Romine was released by the White Sox on Thursday, James Fegan of The Athletic reports.
Romine is starting at second base and batting ninth in Friday's intrasquad game.
Romine is dealing with a sore shoulder, James Fegan of The Athletic reports.