Preheat oven to 400°F (200°C). Roll out the pizza dough into your desired shape and thickness on a floured surface.

Transfer the dough to a greased baking sheet or pizza stone.

Brush the entire surface of the dough with melted butter.

In a small bowl, mix the sugar and cinnamon. Sprinkle evenly over the buttered dough.

Bake for 8–10 minutes, or until the crust is golden and the cinnamon sugar is bubbling.

Meanwhile, make the icing: In a bowl, whisk together cream cheese, powdered sugar, vanilla extract, and milk until smooth. Adjust milk for a drizzling consistency.

Remove the pizza from the oven and let it cool slightly.

Drizzle the icing over the warm cinnamon sugar crust.

Slice and serve warm.