  Recently massless test scalar field perturbations of the holonomy corrected
black holes [Z. Moreira et. al. Phys. Rev. D 107 (2023) 10, 104016] were
studied in order to estimate quantum corrections to the quasinormal spectrum of
a black hole. Here we study both the fundamental mode and overtones of scalar,
electromagnetic and Dirac fields with the help of the Leaver method and higher
order WKB formula with Pad\'e approximants. We observe that the overtones
depend on the geometry near the event horizon, while the fundamental mode is
localized near the peak of the potential barrier, what agrees with previous
studies. We showed that unlike a massless field, the massive one possesses
arbitrarily long lived modes. We also obtain the analytical eikonal formula for
quasinormal modes and its extension beyond eikonal approximation as a series in
powers of $1/\ell$, where $\ell$ is the multipole number.
