Add the carrots to a large skillet and add about an inch of water to the pan. Bring the heat to medium for a couple of minutes, then lower to a simmer and cook until carrots are tender, about 10 minutes.
Drain the carrots and put them back into the pan. Add the coconut oil, coconut sugar, salt, and pepper. Cook for 3 minutes on medium or until the sugar is fully dissolved.
Remove the carrots from the pan. Chop the parsley and add to the carrots along with the coconut flakes, and these coconut candied carrots are ready to serve.