Preheat the oven to a temperature of 350 degrees Fahrenheit.

In a large skillet, warm the extra virgin olive oil over medium heat.

Carefully place the quartered mushrooms in the skillet. Season with salt and pepper, and sauté until the mushrooms are softened and the majority of the liquid has evaporated. This process should take approximately 7-9 minutes.

Introduce the finely minced garlic to the skillet and sauté until its aroma becomes pronounced, typically around 1 minute.

Incorporate the cubed cream cheese, ensuring that the mushrooms are uniformly coated with the melting cheese.

Remove the skillet from the heat source. Proceed to mix in the freshly grated mozzarella, half a cup of bread crumbs, and a quarter cup of Parmesan cheese.

After combining, transfer the mixture into a greased 8x8-inch baking dish, ensuring even distribution.

In a separate small bowl, amalgamate the finely chopped parsley, melted unsalted butter, remaining Parmesan cheese, and bread crumbs. Once mixed, evenly sprinkle this topping over the mushroom mixture.

Place the baking dish in the preheated oven and bake until the breadcrumb topping achieves a golden hue, which should take approximately 25-30 minutes.