  We consider quantum corrections for the Schwarzschild black hole metric by
using the generalized uncertainty principle (GUP) to investigate quasinormal
modes, shadow and their relationship in the eikonal limit. We calculate the
quasinormal frequencies of the quantum-corrected Schwarzschild black hole by
using the sixth-order Wentzel-Kramers-Brillouin (WKB) approximation, and also
perform a numerical analysis that confirms the results obtained from this
approach. We also find that the shadow radius is nonzero even at very small
mass limit for finite GUP parameter.
