In a small-sized bowl, add the butter, sugar and cinnamon and blend well.
Place the puff pastry onto a smooth surface and gently roll it.
Place the cinnamon mixture over the pastry in a thin layer.
Starting from the shorter end, roll the pastry gently and loosely.
With a sharp serrated knife, cut the pastry into 1-inch pieces.
Grease the Air Fryer Basket with cooking spray and then slide inside.
Adjust the temperature of Air Fryer to 400 °F to preheat for 7 minutes.
After preheating, arrange the roll pieces into the greased Air Fryer Basket in a single layer.
Slide the basket into Air Fryer and set the time for 5 minutes.
After cooking time is finished, remove the roll pieces from Air Fryer and place onto a platter to cool slightly before icing.
For icing: in a bowl, add all ingredients and beat until well blended.
Drizzle the rolls with icing and serve warm.