In a hierarchical, or strongly centralized, state, regional and local governments are administrative arms of the national government. The center can appoint or dismiss local officials, set rules for them and overrule their decisions. Unitary states such as France, Japan or China work broadly this way, though to very different degrees.
The opposite arrangement is a federal system, in which regional governments hold powers of their own that the center cannot simply take away, as in Germany, the United States or Switzerland. Few countries are purely one or the other: most mix elements, and modern unitary states often devolve real powers to regions.