Roll and stretch the pizza dough into a 6-inch round.
Lay the dough round in the air fryer, then brush with 1 teaspoon of the olive oil.
Arrange the kale leaves over the dough, followed by the salami slices.
Sprinkle with the Asiago and mozzarella.
Season with salt and pepper, drizzle with the remaining 1 teaspoon olive oil, and cook at 350°F until the dough is cooked through and the cheese is melted and golden brown, about 8 minutes.