  We demonstrate that the Fulde-Ferrell (FF) phase can be induced uniquely by
the orbital effect in a cylindrical metallic nanowire. In the external magnetic
field the two-fold degeneracy with respect to the orbital quantum number $m$ is
lifted what leads to a Fermi wave vector mismatch between the subbands with
opposite orbital momenta in the paired state. This mismatch can be compensated
by the nonzero total momentum of the Cooper pairs created by electrons from
split subbands what results in the formation of the FF phase. With increasing
magnetic field a series of FF stability regions appear in between which the
standard BCS superconducting phase is stable.
