  We consider perturbations of the massless Dirac field in the background of a
black hole solution found by Bodendorfer, Mele, and M\"{u}nch (BMM), using a
polymerization technique that furnishes contributions inspired by Loop Quantum
Gravity (LQG) Theory. Using the sixth order WKB method, we analyzed its
quasinormal modes for several modes, multipole numbers and the two classes of
BMM black holes. We also considered the potential that governs these
perturbations to analyze the bound on the Greybody Factor (GF) due the emission
rates of particles. As results, we found that the Loop Quantum Gravity
parameters are responsible for raising the potential and the real and imaginary
parts of the quasinormal frequencies and decrease the bound on the Greybody
Factor for the two classes of black holes (with more prominent effects for the
de-amplification case, which is compatible with previous analyses done for
other fields).
