Prep potatoes: Boil potatoes in salted water for 15–18 minutes until tender. Drain, mash with butter and milk, and season with salt.
Roast carrots: In a skillet, melt butter. Add carrots and sauté 2 minutes. Drizzle with honey, cover, and cook on low for 10–12 minutes, stirring occasionally.
Sear chicken: Season thighs with salt, pepper, and thyme. In a skillet, heat oil and butter. Sear skin-side down for 5–6 minutes until golden. Flip and cook 5 more minutes. Remove.
Make sauce: In the same pan, sauté garlic for 30 seconds. Stir in Dijon and cream. Simmer 3–4 minutes until slightly thickened. Add lemon juice if desired.
Finish chicken: Return chicken to pan, spoon sauce over, and simmer uncovered 5–7 minutes until cooked through.
Serve: Plate with mashed potatoes and glazed carrots. Spoon extra sauce on top and garnish with parsley.
