Preheat oven to 400 F and grease a 6-cup muffin tray.
In a bowl, mix together the grated sweet potato, grated parmesan cheese, olive oil, garlic powder, and a few grinds of fresh salt and pepper.
Evenly portion the sweet potato mixture into each of the 6 muffin cups. Press the mixture flat against the bottoms and sides of the cup, to form nests.
Bake sweet potato nests for 15 minutes, until edges are golden brown and slightly crisped.
Remove muffin tray from oven and crack one egg into each nest.
Return muffin tray to oven and bake for another 10-12 minutes for a soft yolk, or 15 minutes for a hard yolk.
To serve, run a knife around the sides of each muffin cup, and carefully lift each egg nest out of the tray. Garnish with a sprinkle of parsley and your favourite breakfast sides.