Cut 8 squares of parchment paper that are at least 4" x 4" and get a 9"x13" brownie pan or baking dish to put the shaped fritters into.
Once the dough has doubled in size, roll it out to approximately 18" x 10" using flour as needed.
Spread the cooled apple butter over one half of the dough. Fold the empty half of the dough over the apple compote. Gently press down to seal everything together. Use a bench scraper or knife to cut the dough into 1" grid squares.
Generously sprinkle overtop with flour, probably about 3 tablespoons.
Using a bench scraper scoop about 1/3 of the squares over the rest of them and then another half over the pile that you've now created. Basically you should have a big pile of dough and apple butter. Sprinkle the surface again with flour.
Use the bench scraper to divide the pile into 8 approximately equal portions. Using even more flour as needed and the bench scraper, work with one portion at a time a gently press the portion into a ball. Keep adding flour till you can quickly but gently toss it between your hands without it sticking. The flour mixing with the apple butter will act as a glue to hold everything together.
Once shaped and well floured, place each portion onto an individual square of parchment and then place it in the baking dish up against the edge.
Continue shaping and placing the fritters on parchment and kind of nestle them against each other so that as they proof they don't fall apart.
Immediately start heating the at least 3" deep of neutral oil in a heavy bottomed pot over medium low heat (if using an electric stove, up the heat to medium). Make sure you also have a thermometer sitting in the oil to check the temperature. It should reach 360 F but not higher.