Beyond economic reasons, defrosting the fridge is crucial for hygiene. Food remnants can settle on the ice, promoting mould growth and unpleasant odours. Accumulated ice also limits usable space.

The refrigerator cavity shouldn't be threatened by the freezer defrost process, but you can put out some towels on the ledge of the fridge door, or on the floor, if you're concerned about water ...

Whatever tactic you’re using, from thawing in the fridge to using the microwave ... so there’s no need to transfer. Add roughly 50% onto the standard cook time but check regularly.