  Using the quasinormal modes of a massless scalar perturbation, we investigate
the small/large black hole phase transition in the Lorentz symmetry breaking
massive gravity. We mainly focus on two issues: i) the sign change of slope of
the quasinormal mode frequencies in the complex-$\omega$ diagram; ii) the
behaviors of the imaginary part of the quasinormal mode frequencies along the
isobaric or isothermal processes. For the first issue, our result shows that,
at low fixed temperature or pressure, the phase transition can be probed by the
sign change of slope. While increasing the temperature or pressure to some
certain values near the critical point, there will appear the deflection point,
which indicates that such method may not be appropriate to test the phase
transition. In particular, the behavior of the quasinormal mode frequencies for
the small and large black holes tend to the same at the critical point. For the
second issue, it is shown that the non-monotonic behavior is observed only when
the small/large black hole phase transition occurs. Therefore, this property
can provide us with an additional method to probe the phase transition through
the quasinormal modes.
