Preheat your oven to 375°F (190°C). Grab a medium-sized baking dish and lightly grease it.
In a large bowl, combine the sliced zucchini rounds, halved cherry tomatoes, olive oil, garlic powder, Italian seasoning, salt, and pepper. Give everything a good gentle toss to coat the veggies evenly.
Add the shredded cooked chicken to the bowl with the vegetables.
Drop in the softened cream cheese in small dollops over the mixture.
Add about half of the shredded mozzarella and half of the grated Parmesan cheese to the bowl.
Using a spatula or spoon, gently mix everything together. The cream cheese will start to break down and coat things, creating that lovely creamy base. It doesn't have to be perfectly uniform, just make sure everything is somewhat combined.
Pour the entire mixture into your prepared baking dish. Spread it out into an even layer.
Top the bake with the remaining shredded mozzarella and grated Parmesan cheese.
Pop the dish into your preheated oven. Bake for 25-30 minutes, or until the cheese is melted, bubbly, and lightly golden brown, and the vegetables are tender.
Once it's done, carefully remove it from the oven. Let it rest for 5-10 minutes before serving.
If you have fresh basil, tear some leaves over the top just before serving.