  We describe scanning tunneling spectroscopic signatures of Majorana zero
modes (MZMs) in Kitaev spin liquids. The tunnel conductance is determined by
the dynamical spin correlations of the spin liquid, which we compute exactly,
and by spin-anisotropic cotunneling form factors. Near a $\mathbb{Z}_2$ vortex,
the tunnel conductance has a staircase voltage dependence, where conductance
steps arise from MZMs and (at higher voltages) from additional vortex
configurations. By scanning the probe tip position, one can detect the vortex
locations. Our analysis suggests that topological magnon bound states near
defects or magnetic impurities generate spectroscopic signatures that are
qualitatively different from those of MZMs.
