C.J. Wilson will take Shoemaker's place on Tuesday and Jered Weaver will take the mound on Wednesday. Garrett Richards, meanwhile, will start the series opener in Texas on Friday.
If the Angels keep the same rotation order during their next 17-game stretch -- which includes seven games against division-leading Oakland and finishes with an off-day on Sept. 1 -- they would trot out Hector Santiago, Wilson and Weaver in the three-game set in Oakland from Aug. 22-24.
Manager Mike Scioscia said the club would likely not start a pitcher on short rest in an attempt to match up with an upcoming opponent.
Alden Gonzalez is a reporter for MLB.com. Read his blog, Gonzo and "The Show", and follow him on Twitter @Alden_Gonzalez. Matthew DeFranks is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.