Preheat the oven to 400 degrees F and adjust the rack to the middle position. Place the carrots on a baking sheet lined with parchment paper and toss with melted ghee and sea salt. Roast for 10 minutes and then carefully turn each carrot. Roast for an additional 10 minutes, or until carrots are turning golden brown. Cool.
Place all of the sauce ingredients in a blender or food processor and blend until smooth. Adjust salt to taste. Serve room temperature carrots with parsley-yogurt sauce.