A refrigerator is a compressor, two or three fans, and refrigerant moving through pipes. It is allowed to sound like a machine. The useful skill is noticing a new noise that arrived with a temperature change, not chasing every pop when the defrost heater finishes.
Pull the cabinet a few inches from the wall only if you can do it without kinking the water line or tipping the box. Leveling feet that were never wound down are a common rattle source.
The soundtrack of a healthy fridge
A low hum, occasional clicks as relays open, and trickling after the ice maker fills are ordinary. Plastic liners pop as they change temperature. None of that needs a part.
Rattles you can stop in a minute
Wine bottles touching the back wall, a drip pan that is not seated, and a refrigerator that rocks on uneven floors make noises that sound expensive. Clear the top, check the feet, and make sure the ice bin is fully in its rails.
Sounds that mean stop guessing
Grinding from the freezer, a squeal that tracks with cooling loss, or a compressor that rapid-fires then stays silent belongs on a service note. Do not oil a fan through the rear cover. If you smell electrical burning, unplug the refrigerator if the cord is reachable.