Preheat the oven to 375°F (190°C).

Place the pie crust in a 9-inch pie dish and set aside.

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

Add the sliced zucchini, onion, and minced garlic to the skillet. Sauté until the vegetables are tender, about 5 minutes. Remove from heat.

In a mixing bowl, whisk together the eggs and milk until well combined.

Stir in the crumbled goat cheese, grated Parmesan cheese, chopped basil, salt, and pepper.

Spread the sautéed zucchini, onion, and garlic evenly over the bottom of the pie crust.

Pour the egg and cheese mixture over the vegetables.

Place the quiche in the preheated oven and bake for 35-40 minutes, or until the top is golden brown and the filling is set.

Remove from the oven and let it cool for a few minutes before slicing and serving.