Sauté vegetables: Sauté diced onion, carrots, celery (and garlic) in butter until softened (about 5–8 minutes).
- Form roux: Stir in flour and herbs, cooking briefly to form a roux.
- Add liquids: Add white wine (optional), then whisk in chicken broth and heavy cream, bringing to a gentle boil.
- Add vegetables & chicken: Add potatoes, peas, and shredded chicken; simmer 20–30 minutes until veggies are tender.
- Prepare biscuits: Cut tube biscuits into heart shapes, balls, or rounds. Bake separately (10 minutes at package temperature) or place raw atop soup before baking.
- Transfer to oven: Transfer pot to oven (350°F), bake 13–14 minutes until biscuits are golden.
- Garnish & serve: Garnish with parsley and serve immediately.