Preheat the oven to 350°F.
Whisk the eggs together in a medium bowl. Add the mushrooms and garlic, and season with salt and pepper. Stir until combined.
Heat the olive oil in a medium cast-iron skillet over medium-high heat. Add the eggs to the pan and cook for 4 minutes. Arrange the dandelion leaves and goat cheese over the top. Place in the oven and bake for 20 to 25 minutes. Remove from the oven.
Slice into wedges and serve immediately.