Wash the carrots thoroughly, peel them, and julienne them into thin strips.
Sprinkle a little salt over the julienned carrots and let them sit for 5 minutes.
Lightly squeeze out excess moisture from the carrots.
Mix olive oil, lemon juice, whole grain mustard, sugar, and black pepper to make the dressing.
Add the carrots to the dressing and toss well to evenly coat.
Garnish with parsley or nuts as desired to finish.