Eyre began the season on the DL with a right groin strain, then made three appearances before having a recurrence of the injury April 22. He allowed three runs in 4 1/3 innings in those appearances.
He was available to pitch Friday, a day after the Rangers won 9-8 in 12 innings at Arizona and used six relievers.
To make room on the 25-man roster, the Rangers optioned outfielder Brandon Boggs to Triple-A Oklahoma. They also had to clear a spot on the 40-man roster, so infielder German Duran was placed on release waivers to give him his unconditional release.