Begin by patting the chicken breasts dry with paper towels. Season both sides with chili powder, kosher salt, and black pepper.
In a large skillet, heat a drizzle of olive oil over medium-high heat. Add the seasoned chicken breasts and cook for about 5-7 minutes on each side until golden brown and cooked through.
Once cooked, reduce heat to low. Pour the creamy Caesar dressing over the chicken, ensuring each piece is well coated. Sprinkle half of the shredded mozzarella and half of the grated Parmesan over the top.
Preheat your oven to 375°F (190°C). Transfer the skillet or chicken to a baking dish and bake for 15-20 minutes, until the cheese is melted and bubbly.
Drizzle the lemon juice over the cheesy chicken after baking. Garnish with extra Parmesan if desired and serve hot.