  We examine the interaction between quantum test particles and the
gravitational field generated by a black hole solution that was recently
obtained in the consistent 4-dimensional Einstein-Gauss-Bonnet gravity. While
quasinormal modes of scalar, electromagnetic, and Dirac fields have been
recently studied in this theory, there is no such study for the quasibound
states. Here, we calculate the spectrum of quasibound states for the test
fields in a spherically symmetric and asymptotically flat black hole solution
in the consistent 4-dimensional Einstein-Gauss-Bonnet gravity. The
quasispectrum of resonant frequencies is obtained by using the polynomial
condition associated to the general Heun functions. We also discuss the
stability of the systems for some values of the Gauss-Bonnet coupling constant.
