Spread 1 tablespoon of mayonnaise on one side of each slice of bread.
On the non-mayo side of one slice, layer 2 slices of Fontina cheese, followed by the fried chicken tenders, and then the mozzarella sticks. Top with the remaining 2 slices of Fontina cheese.
Drizzle the barbecue sauce over the mozzarella sticks and place the second slice of bread on top, mayo side up.
Place the non-stick skillet over medium heat and warm it up. Carefully place the sandwich into the skillet.
Cook for about 3-4 minutes on one side until golden brown. Press down gently on the sandwich.
Flip the sandwich and cook for an additional 3-4 minutes on the other side.
Remove the sandwich from the skillet and let it sit for a minute before cutting.
Cut the sandwich in half or quarters and serve warm.