  We study the scattering of light-like geodesics and massless scalar waves by
a static Konoplya-Zhidenko black hole, considering the case that the
parametrized black hole solution contains a single deformation parameter. By
performing a geodesic analysis, we compute the classical differential
scattering cross section and probe the influence of the deformation parameter
on null trajectories. Moreover, we investigate the propagation of a massless
scalar field in the vicinity of the static Konoplya-Zhidenko black hole and use
the plane waves formalism to compute the differential scattering cross section.
We confront our numerical results in the backward direction with the glory
approximation, finding excellent agreement. We compare the results for the
deformed black hole with the Schwarzschild case, finding that the additional
parameter has an important role in the behavior of the scattering process for
moderate-to-high scattering angles.
