I'm not sure about painting one but I know you can get refrigerator stickers that are meant to be very good :)
We did one for rental property. Roll it outside. Cleaned it very well and spray painted it. Several light coats. Still holding up, been 5 years.
There are appliance paints available out there. There are also appliance stickers too.
I consider myself a very experienced spray painter and I don’t think I would personally consider painting a refrigerator. To get a smooth blemish free flawless finish would be very hard -I’m not sure my results would be satisfying/acceptable up to my standards.
Instead I would consider using a skin. Here’s a link to skins that you can purchase. Hope this helps!
This link might be helpful
Update Any Old Appliance With Paint - House One
Use an appliance spray paint.
A friend put her old refrigerator in the game room...she painted it bright red. Looked so neat!