Cut the peeled carrots into rounds and set aside for a moment. Put all the other ingredients into a skillet, except for the garnish. Stir it up, turn on the heat and add the carrots.
Bring to a simmer (this takes about 5 minutes) and give it a stir. Then put a lid on it and reduce the heat so it stays simmering for about 5 more minutes.
Remove the lid carefully so as to not burn your face, and continue cooking until you have a sweet syrup reduction that coats the carrots nicely. Serve up right from the pan, or put into a pretty bowl and sprinkle with the parsley garnish.