Keep the rolls connected as a single sheet.
Using a sharp knife, make two parallel lengthwise cuts across the top of each roll. Do not cut all the way through the bottom. The cuts should create layers or pockets for the cheese while keeping the rolls intact.
3 Stuff shredded mozzarella into each cut, distributing it evenly among all the rolls. Don't be afraid to pack it in, the cheese melts down as it cooks.
In a small bowl, combine the melted butter, garlic, and oregano.
Brush the garlic butter generously over the tops of the rolls. Let some of the mixture drip into the cheese-filled cuts for maximum flavor.
Place the rolls in the air fryer basket. Air fry at 330°F (165°C) for 6-8 minutes, or until the tops are golden brown, cheese is melted and bubbly, and the edges are lightly crisp.
*Check after 5 minutes since air fryers vary.
Allow the rolls to cool for 1-2 minutes before serving. Pull apart and enjoy while warm and cheesy.