  Stationary, axisymmetric and slowly rotating vacuum spacetimes in the
Ho\v{r}ava-Lifshitz (HL) gravity are studied, and shown that, for any given
spherical static vacuum solution of the HL theory (of any model, including the
ones with an additional U(1) symmetry), there always exists a corresponding
slowly rotating, stationary and axisymmetric vacuum solution, which reduces to
the former, when the rotation is switched off. The rotation is universal and
only implicitly depends on the models of the HL theory and their coupling
constants through the spherical seed solution. As a result, all asymptotically
flat slowly rotating vacuum solutions are asymptotically identical to the
slowly rotating Kerr solution. This is in contrast to the claim of Barausse and
Sotiriou, Phys. Rev. Lett. {\bf 109}, 181101 (2012), in which slowly rotating
black holes were reported (incorrectly) not to exist in the infrared limit of
the non-projectable HL theory.
