Preheat your oven to 375°F (190°C) to ensure the wonton cups bake evenly and get crispy.
Brush each wonton wrapper lightly with olive oil on both sides. Place them into the cups of a muffin tin, pressing gently to form cup shapes.
Bake the wonton cups in the preheated oven for 10-12 minutes, or until the edges are golden brown. Watch carefully to avoid burning.
In a mixing bowl, combine softened cream cheese, sour cream, Buffalo sauce, garlic powder, shredded cooked chicken, and shredded mozzarella cheese. Mix until creamy and well incorporated.
Once the wonton cups have baked and cooled slightly, spoon the Buffalo chicken filling generously into each cup.
Return the filled wonton cups to the oven and bake for another 10-15 minutes, until the filling is heated through and cheese is melted and bubbly.
Remove from oven and let cool for a few minutes. Serve warm with ranch or blue cheese dressing for dipping. Enjoy!