The infielder, an eight-year veteran, had played in 128 games with Texas since 2013. A lifetime .227/.294/.342 hitter, Rosales also made two pitching appearances this season -- most recently on July 28.
Rookie Hanser Alberto, who on Wednesday was recalled from Triple-A Round Rock, can play at third, second and at shortstop.
• Designated hitter Prince Fielder and shortstop Elvis Andrus were not in Sunday's starting lineup ahead of Monday's off-day. Manager Jeff Banister said it could be both players' final day off this season as the Rangers continue their playoff push.
• Carlos Corporan (thumb) traveled with the club to Detroit and is slightly ahead of Robinson Chirinos (shoulder) in his recovery process, but neither catcher's return is imminent, Banister said. Both are already eligible to return from the 15-day disabled list.
Alejandro Zúñiga is an associate reporter for MLB.com. Follow him on Twitter @ByAZuniga. This story was not subject to the approval of Major League Baseball or its clubs.