Laweryson, as a 27-year-old making his major league debut, was impressive in five late-season appearances, giving up one unearned run in 7⅔ innings.
Outfielder Alan Roden, who was acquired from Toronto at the trade deadline and had thumb surgery before the season ended, was reinstated to the roster off the 60-day injured list. The Twins have 33 players on the 40-man roster as free agency begins.
Also, 13 major league players were tendered the $22.025 million one-year qualifying offer before free agency started. If those players reject that offer and leave their current teams, those teams would be eligible to receive draft pick compensation.
Getting qualifying offers were Phillies designated hitter Kyle Schwarber, Chicago Cubs outfielder Michael Tucker, Toronto shortstop Bo Bichette, Detroit infielder Gleyber Torres and Yankees outfielder Trent Grisham; and pitchers Framber Valdez of Houston, Michael King and Dylan Cease of San Diego, Ranger Suarez of Philadelphia, Brandon Woodruff of Milwaukee, Zac Gallen of Arizona, Shota Imanaga of the Cubs and Edwin Diaz of the Mets.