Shave zucchini into ribbons using a vegetable peeler
Heat olive oil in a skillet over medium heat
Add zucchini ribbons and cook until softened and starting to get color, about 5-7 minutes
Form the cooked zucchini into 2 piles and shape each with a small divot in the middle
Divide shredded cheese between the two divots
Cover the skillet for about 1 minute until cheese melts
Remove the cover and crack one egg into the center of each zucchini pile
Season with salt and pepper
Cover again and cook until egg is set to your liking, about 3-5 minutes
Drizzle with chili oil and top with fresh chives
Optional: sprinkle with crumbled bacon before serving
