Preheat the oven to 425°F (220°C). Line a baking sheet with a Silpat or parchment.
Stretch or roll the pizza dough to fit the prepared sheet and set it aside.
Heat a small skillet over medium-high and add a drizzle (about 1 tablespoon) of olive oil.
Add the diced chicken to the hot skillet, season with kosher salt and pepper, and cook 3–4 minutes until the outsides are browned; the chicken may still be slightly pink inside.
In a small bowl, mash the roasted garlic cloves with the remaining 1 tablespoon olive oil until mostly smooth.
Spread the roasted garlic mixture evenly over the dough, leaving a 1-inch border around the edge.
Sprinkle 1 cup of the shredded mozzarella over the garlic layer, then distribute the cooked chicken evenly on top.
Season the toppings with the garlic powder and half of the chopped oregano, then top with the remaining 1/2 cup mozzarella.
Bake the pizza in the preheated oven for about 15 minutes, until the crust is cooked through and the cheese is browned.
Remove from the oven, sprinkle with the remaining oregano, slice, and serve hot.