  We calculate the characteristics of the "black hole shadow" for a rotating,
neutral black hole in fourth-order conformal Weyl gravity. It is shown that the
morphology is not significantly affected by the underlying framework, except
for very large masses. Conformal gravity black hole shadows would also
significantly differ from their general relativistic counterparts if the values
of the main conformal gravity parameters, $\gamma$ and $\kappa$, were increased
by several orders of magnitude. Such increased values for $\gamma$ and $\kappa$
are currently ruled out by gravitational phenomenology. Therefore, it is
unlikely that these differences in black hole shadows will be detected in
future observations, carried out by the Event Horizon Telescope or other such
experiments.
