Methods of drilling a well bore in a subterranean formation comprising placing a self-degrading kickoff plug or the like in the well bore are provided. An example of a method is a method comprising: providing a self-degrading cement composition that comprises a degradable material, an acid source, a base source, and a water source; placing the self-degrading cement composition in a desired location in a well bore that penetrates a subterranean formation; and allowing the self-degrading cement composition to set to form a hardened kickoff plug.