NOTE: As an appliance repair this does not belong here. As a "how to do it right" it should be useful for designers and others.
Presumably you mean it is labelled ZNR01J and did not check for typos ?
Giving model and brand helps heaps.
Presumably it is NOT in series with a fuse but rather is connected from the non-mains side of a mains fuse to either ground or the other mains lead.
The diagram below probably shows a similar arrangement - see component labelled ZNR01J. That diagram and others like it from LG service manual here - see eg page 20.
This component is liable to be a MOV or Varistor or ZNR = surge suppressor.
The LG manual lists it as a SVC271D-14A.
Datasheet here - in a frame but PDF can be saved.
Note that this may not be the correct part as I HAVE assumed information that you have available and could have supplied but didn't. And I have corrected what appears to be an error in your data - but which may not be, and corrected your circuit description, possibly wrongly. More information (and possibly more care) at the start (brand, model, circuit, better description of where it really was electrically in the circuit, non-typo in part number (a biggie if true), link to ZNR's etc) would help muchly.