The move Monday came a week before the Rangers play their season opener. It allows Guthrie to seek a major league job.
The 36-year-old Guthrie signed a minor league deal right before spring training. He had a 5.14 ERA in three Cactus League appearances, allowing three home runs with five strikeouts over seven innings. In a Triple-A game last week, he gave up three solo homers over five innings.
Guthrie started Game 7 of the 2014 World Series for Kansas City, but was left off the Royals' postseason roster last season.
He is 91-108 with a 4.37 ERA in 305 career games for Cleveland, Baltimore, Colorado and Kansas City.