Under the local gravitational field, perturbations from high-frequency gravitational waves can cause a vertical shift of the Mossbauer resonance height. Considering a stationary scheme with the Ag-109 isotope, we demonstrate that the extremely high frequency precision in Mossbauer resonance allows for competitive gravitational wave sensitivity from KHz up to above MHz frequencies. Mossbauer resonance can offer a novel 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.