Preheat your oven to 400°F (200°C). Line a 12-inch pizza pan with parchment paper.
Unroll the refrigerated pizza dough and gently stretch it into an even circle. Brush the surface with the melted butter.
In a small bowl, combine the granulated sugar and ground cinnamon until evenly blended.
Spread the softened butter over the dough, then sprinkle the cinnamon sugar mixture evenly across the surface, leaving a narrow border around the edges.
Bake for 12–15 minutes, or until the crust is golden and the topping is bubbly and lightly caramelized.
Whisk the powdered sugar, milk, and vanilla extract together in a bowl until smooth. Add a tiny splash of milk if needed to achieve your desired consistency.
Allow the dessert pizza to cool for five minutes, drizzle the vanilla glaze over the top, and cut into eight wedges.
