Self-biased nanomagnetic structures with reconfigurable microwave properties are going to play a key role in the miniaturization of microwave devices. However, examples of such nanomagnets are very few. Here, we present a new nanostructure based on trapezoid shape which possesses two different remanent states through a simple sub-ns field initialization process. Different remanent states are associated with distinct microwave properties with a remarkably large shift between their microwave spectra. Other possible sample schemes based on networks, multilayers and arrays of trapezoid nanomagnets have also been discussed for a comprehensive report on this novel design architecture. The underlying physics of tunable microwave properties has been explained analytically using dipolar field driven variation of total effective field landscapes for different remanent states. The results offer a new route for the realization of the on-chip integration of microwave devices without any requirement of a bias magnetic field. © 2021 Elsevier B.V.