Start with 2 pounds of shredded rotisserie chicken. If you haven’t purchased one, you can roast a whole chicken and shred the meat yourself.
Dice the Fuji apple and celery into small pieces. Quarter the red grapes for easy mixing. Mince the shallots finely.
In a large mixing bowl, combine the shredded chicken, quartered grapes, diced apple, diced celery, and minced shallots.
In a separate bowl, whisk together the mayonnaise, lemon juice, minced parsley, minced chives, Dijon mustard, kosher salt, and black pepper.
Pour the dressing over the chicken and vegetable mixture. Gently fold everything together until evenly coated.
Cover the bowl with plastic wrap and let the chicken salad chill in the refrigerator for at least 30 minutes before serving.