With mixer running on low speed, slowly add powdered sugar and beat until well blended and smooth*. Frost cupcakes with cream cheese frosting then immediately roll edges of frosting in chopped pecans.
Dip a toothpick lightly in cocoa powder, shaking of excess then gently roll carrot across toothpick (in random places) while slightly rotating to make slight indentations (to give it that natural look).
Poke a small hole in the top of each carrot and insert parsley. Gently press carrots into frosting on tops of cupcakes.