Kubel, 32, hit .224 with one home run, 13 RBI and a .295 slugging percentage in 176 plate appearances with the Twins this season.
He went unclaimed when the team placed him on waivers last week, and now he is free to sign with any major league team.
Minnesota signed Kubel, who played for the Twins from 2004-2011, to a minor league contract this past offseason and was set to make $2 million this season.
Kubel was productive just two seasons ago when he hit .253, with a career-high 30 home runs, driving in 90 runs in 141 games with the Arizona Diamondbacks. CORCORAN: Zero Heroes: Players who have not filled in some basic statistical categories