A semiconductor switching device includes a field effect transistor and an inductor structure that provides a frequency dependent inductance in a parallel connection. During the off-state of the semiconductor switching device, the frequency dependent impedance component due to the off-state parasitic capacitance of the switching device is cancelled by the frequency dependent inductance component of the inductor structure, which provides a non-linear impedance as a function of frequency. The inductor structure provides less inductance at a higher operating frequency than at a lower operating frequency to provide more effective cancellation of two impedance components of the parasitic capacitance and the inductance. Thus, the semiconductor switching device can provide low parasitic coupling at multiple operating frequencies. The operating frequencies of the semiconductor switching device can be at gigahertz ranges for millimeter wave applications.