I'm assuming you mean when the fridge is in use and you are plugged into shore power. Since it is a residential fridge powered by an inverter and not knowing if the RV has a transfer switch that would automatically cut out the inverter when plugged into shore power, try this, turn off the inverter (still plugged into shore power) does the fridge continue to run? If it does you can turn the inverter off. If not, then its obviously required to be on the whole time fridge is in use. If you are asking can I turn it off when not using fridge I would say yes.
We have a 2013 Silverback 29 RE with the Ammonia absorption fridge.