Place a box grater on a clean, dry cutting board. Hold a peeled carrot by its thick end and position it against the large grating holes.
Using steady pressure, drag the carrot down the grater until about 2 inches remain unshredded to avoid injury.
Transfer the shredded carrot to a bowl. Repeat the grating process with the remaining carrots. If using, mix in salt, pepper, and parsley to taste.