Slice the sourdough loaf in a grid pattern, making sure not to cut completely through the bottom crust.
Melt the butter in a microwave-safe bowl and stir in the minced garlic and fresh parsley.
Use a brush or spoon to drizzle the garlic butter deep into the cuts of the bread.
Stuff the shredded mozzarella cheese generously into all the slices.
Place the stuffed bread into the air fryer basket and air fry at 350F for 8 to 10 minutes, until the cheese is deeply melted and the top is golden and crispy.
Remove carefully, let it cool for a minute, and serve warm.