Preheat the oven to 350 degrees.
Using a large piece of parchment paper, roll out the tube of crescent rolls and push the dough together to make one large rectangle, approximately 14" wide and 10" long. Use a rolling pin to smooth the dough.
Slice 6 strips on the long side and four strips on the short, slicing the rectangle into 24 equal-sized squares or as close to equal as possible.
Loosely place one square into each of the 24 muffin cup tins. The dough can cover only part of the muffin cup, just the bottom and up the side a bit.
In each muffin tin, add a small amount of goat cheese on top of the dough until all the goat cheese is used. If you cut the 4 oz. goat cheese log in half lengthwise, you will have 2 half logs. Slice each half log into 12 equal pieces, and you will have 24 pieces of goat cheese for the muffin cups.
Take the thinly sliced apples and arrange 2 or 3 pieces into each muffin tin, apples can be higher than the muffin tin. Cutting the apple slices as needed to fit.
Divide the prosciutto package into 24 pieces. Depending on the package's number of slices, you may have to cut each slice into 4 or 5 pieces. Roll the prosciutto pieces any way you like, and place one roll of prosciutto in each muffin tin.
If baking immediately: Place the muffin tin into the preheated 350-degree oven and bake for about 15 minutes or until the dough is golden brown.
If prepping in the morning to bake later in the day: The muffin tin can be loosely covered and refrigerated at this point until you're ready to bake.
If making ahead to freeze: At this point, the bites should be cooled completely, removed from the muffin tin, and placed gently into a freezable container. When reheating these at a later date, preheat the oven to350 degrees and place each bite on a baking sheet. Heat for 10 minutes or until bites are heated through.