Outfielder Ryan Rua went on the 15-day DL with a right ankle sprain.
Texas recalled right-hander Jon Edwards from Round Rock, and purchased the contract of outfielder Carlos Peguero from the Triple-A club.
Holland felt tightness on his last pitch of warmups Friday, then threw nine pitches against Houston. He was diagnosed with a subscapular strain in his left shoulder.
The Rangers also received right-hander Stolmy Pimentel on a waiver claim from Pittsburgh.