Heat the olive oil over high heat. Once hot, add the mushrooms, dried thyme and garlic powder and sauté for 10 minutes until the mushrooms are soft and their flavor deepens, almost to the point of caramelization to bring out their earthy and decadent flavor. Once fully cooked, remove from the pan and season with salt and pepper.
In the same pan, add a touch more olive oil or butter if needed and heat over medium high heat. In a medium bowl, crack the eggs and whisk together. Carefully pour the eggs into the hot pan and using a spatula, slowly drag it along the bottom of the pan allowing the eggs to cook slowly and evenly.
Once the eggs are cooked, season them with salt and pepper and transfer even portions to 4 plates. Add equal amounts of mushrooms to all 4 plates and sprinkle with chives and freshly grated parmesan cheese. Serve immediately.
To ensure food safety, eggs should be cooked until both the yolk and the white are firm. Consuming raw or undercooked eggs may increase your risk of foodborne illness, especially for those with certain medical conditions. For recipes that call for eggs that are raw or undercooked when the dish is served, use either pasteurized shell eggs that have been treated to destroy Salmonella, or use pasteurized egg products.