The players' union said in a statement on Tuesday that Jimenez has requested an appeal of his ban for intentionally throwing at Colorado's Troy Tulowitzki during a spring training game Sunday. Major League Baseball suspended and fined Jimenez on Monday.
Jimenez is scheduled to start Cleveland's second game of the season on Saturday against Toronto.
Manager Manny Acta said before the Indians played their Class A affiliate, the Carolina Mudcats, that Jimenez "is going to be able to pitch, and then we'll go from there."
Jimenez did not speak with reporters before the exhibition game.