Is FCC certification needed for receiver device?
You should have it tested as an "Unintentional radiator".  Receivers can definitely radiate energy, and can violate the limits. The local oscillator in a superhet can end up radiating from the antenna or from the PCB, just for one example. If you have a processor or microcontroller, that's another potential source of radiated noise.

It's a relatively inexpensive test, and if you've done you work properly you will pass.