Heat a skillet over medium heat and add the avocado oil. Once the pan is hot, add the cabbage and cook for 3 to 4 minutes, until softened.
Make two spaces in the cabbage and crack the egg into each space. Season with sea salt and cover with a lid. Cook for 3 to 4 minutes or until the whites are set and the yolks are cooked to your preference. Serve and enjoy!