  Mimetic gravity has gained significant appeal in cosmological contexts, but
static spherically symmetric space-times within the baseline theory are highly
non-trivial: the two natural solutions are a naked singularity and a black hole
space-time obtained through an appropriate gluing procedure. We study the
shadow properties of these two objects, finding both to be pathological. In
particular, the naked singularity does not cast a shadow, whereas the black
hole casts a shadow which is too small. We argue that the Event Horizon
Telescope images of M87$^{\star}$ and Sgr A$^{\star}$ rule out the baseline
version of mimetic gravity, preventing the theory from successfully accounting
for the dark sector on cosmological scales. Our results highlight an
interesting complementarity between black hole imaging observations and
modified gravity theories of cosmological interest.
