The Furrion RV Refrigerator # FCR14ACBQABL is rated for 1.268 kWh/24h which is the equivalent of 1,268 Watts so I recommend going with at least the Progressive Dynamics Pure Sine Wave Inverter w/ Transfer Switch # PD64FR which is rated for 2,000 Watts.
The beauty of this inverter is that is has a built-in transfer switch so you'll actually be connecting both your battery bank and your shore power wiring to this unit and it will automatically pull power from shore power when you're connected... view full answer...