1Preheat oven to 350 degrees F (175 degrees C). Line a baking sheet with aluminum foil.
2Place pie crust into a 9-inch deep pie dish and prick crust all over with a fork; brush with oil. Place crust onto prepared baking sheet.
3Bake crust in the preheated oven for 8 minutes.
4Place broccoli into a bowl and microwave on high until broccoli is bright green and slightly tender, about 4 minutes. Whisk eggs, milk, Dijon mustard, oregano, salt, pepper, and thyme in a bowl; stir broccoli into egg mixture. Pour mixture into crust and sprinkle quiche with Cheddar and Parmesan cheeses.
5Bake until a knife inserted into the middle of the quiche comes out clean, about 40 minutes. Let stand 10 minutes before cutting.
Footnotes
Tip
Aluminum foil helps keep food moist, ensures it cooks evenly, keeps leftovers fresh, and makes clean-up easy.