  Under the local gravitational field, perturbations from high-frequency
gravitational waves can cause a vertical shift of the M\"ossbauer resonance
height. Considering a stationary scheme with the $^{109}$Ag isotope, we
demonstrate that the extremely high precision of M\"ossbauer resonance allows
for competitive gravitational wave sensitivity from KHz up to above MHz
frequencies. M\"ossbauer resonance can offer a novel and small-sized
alternative in the quest of multi-band gravitational wave searches. The
presence of the static gravitational field plays essential role in the
detection mechanism, isotope selection and sensitivity forecast. The proposed
stationary scheme's sensitivity has the potential of significant improvement in
a low-gravity environment.
