Prepare and season the chicken: Pat the chicken thighs very dry with paper towels (dry skin crisps much better). Season both sides generously with 1 1/4 tsp kosher salt and 1/2 tsp black pepper, and tuck a little thyme under the skin if possible. Allow to sit at room temperature 15–20 minutes while you prep other ingredients — this brings the meat closer to oven temperature so it cooks more evenly.

Parboil the potatoes (why: speeds cooking and roughs the surface so they roast super‑crispy). Place halved baby potatoes in salted cold water, bring to a simmer, and cook 8–10 minutes until just tender when pierced with a knife (do not fully fall apart). Drain and shake the colander to roughen edges; this creates more surface area to brown.

Sear the chicken to render fat and start browning (why: searing develops Maillard flavor and renders skin fat that will coat and flavor the potatoes). Heat a large ovenproof skillet or cast‑iron pan over medium‑high heat until shimmering. Add 1 tbsp olive oil. Place chicken thighs skin‑side down and press lightly so skin makes full contact. Cook 5–7 minutes without moving, until deep golden and much of the fat has rendered. Flip and cook 2 minutes on the meat side. Transfer chicken to a plate, skin‑side up.

Roast the potatoes in the chicken fat (why: potatoes pick up the chicken flavors and get extra crisp). Remove excess fat from the pan leaving about 2 tbsp. Add 2 tbsp olive oil and the drained potatoes cut‑side down; season with the remaining 1/4 tsp salt, 1/4 tsp black pepper, chopped rosemary, and half the sliced garlic. Roast on the stovetop 2–3 minutes to sear the potatoes, then nestle the seared chicken thighs on top of the potatoes skin‑side up.

Oven finish: transfer the skillet to a 425°F (220°C) oven and roast 20–25 minutes until the potatoes are golden and the chicken reaches an internal temperature of 165°F (74°C) at the thickest part. (Why: high oven heat crisps skin and edges without drying the meat; the internal temp ensures safe, juicy chicken.) If using a shallow baking sheet instead of a skillet, roast the chicken on a wire rack set over the potatoes to encourage air circulation.

Make the pan sauce while the chicken rests (why: resting lets juices redistribute; using the hot pan fond unlocks concentrated flavor). Remove skillet from oven and transfer chicken and potatoes to a warm platter; tent loosely with foil to rest 10 minutes. Place the skillet over medium heat, add 1 tbsp butter and the remaining sliced garlic; sauté 30–45 seconds until fragrant (don’t let garlic brown). Deglaze with 1/2 cup chicken stock and the lemon juice, scraping up browned bits. Whisk in Dijon and honey, simmer 2–3 minutes to reduce and slightly thicken, then swirl in remaining 1 tbsp butter for gloss and richness. Taste and season with salt and pepper as needed.

Sauté the green beans quickly (why: a short sauté keeps beans bright, tender‑crisp, and full of color). While the chicken rests and sauce reduces, heat a medium skillet over medium heat with 1 tbsp olive oil. Add green beans and a pinch of salt; toss 4–5 minutes until blistered in spots but still crisp. Add a squeeze of lemon and a pinch of red pepper flakes if using, then finish with a small pat (1 tsp) of butter and half the chopped parsley. Toss and remove.

Plate and finish: spoon a little pan sauce onto each plate, place a chicken thigh atop the potatoes, arrange green beans to the side, and spoon more sauce over the chicken. Garnish with remaining parsley and a light grating of lemon zest. (Why: plating warm components and finishing with fresh herbs & zest brightens the dish and adds visual contrast.)

Serve: encourage guests to press the chicken skin for a final crunch and enjoy immediately. Leftovers: store sauce separately if possible; reheat gently to avoid drying the chicken.