Preheat your oven to 400 °F.
Peel (if desired) and cube the sweet potato into bite-size pieces. Spread them on a sheet pan.
Drizzle the sweet potato cubes with olive oil, sprinkle with a pinch of salt and pepper, and toss to coat evenly.
Roast the sweet potato in the oven for about 20 minutes until they start to soften.
Remove the sheet pan from the oven and add the chopped kale, stirring gently to combine with the sweet potato.
Create small wells among the vegetables and crack the eggs into these wells.
Sprinkle a pinch of salt and pepper over the eggs and vegetables.
Return the sheet pan to the oven and bake for an additional 10-12 minutes, or until the eggs are set to your liking.
Once baked, remove from the oven and crumble the feta cheese over the top.
Allow the dish to cool slightly before serving.