I've done it once and it was not a fun job. Our unit was 14 cu ft. After disconnecting everything from the back (gas line, 12V, 120V & water line for the ice maker) I removed the doors, removed the ice maker and several fins and plates, then pulled it out and laid it down on its face. Then there were dozens of screws, connectors, sheet metal plates, etc to remove before the cooling unit pulled straight up from the refrigerator enclosure. Reverse the procedure to re-install, but of course there's a good chance that not all the screw holes will line up easily. I'm sure I've forgotten a few things.
Like I said, not a fun job, especially when the "new Amish cooling unit" didn't work properly and I had to do it all over again a second time before giving up and replacing it with a household refrigerator.