So do you still want the mechanical push button switch ? But you also want an electrically controlled switch, attached to the mech SW pads on the PCB, like a BJT or FET, that can be controlled by an MCU ?
I'd want to know more about the signal and circuit, where they come from and where they go. But it should be pretty easy, and plenty fast, especially compared to pushing a button, that on it's own, usually bonces and vibrates for a while when the contacts collide.