Mix smoked paprika, garlic powder, onion powder, cayenne pepper, salt, and black pepper in a small bowl. Pat chicken pieces dry with paper towels, then coat thoroughly with the spice mixture on all sides. Let seasoned chicken rest for 5 minutes so flavors begin penetrating the meat before cooking begins.
Heat olive oil in a large skillet over medium-high heat until shimmering and hot. Working in batches if needed, place seasoned chicken skin-side down in the hot pan without moving them. Sear undisturbed for 6-7 minutes until skin turns golden-brown and crispy, then flip and sear the other side for 5 minutes.
While chicken sears, whisk together maple syrup, balsamic vinegar, Dijon mustard, liquid smoke, chicken broth, and fresh thyme sprigs in a measuring cup. This smoky juicy maple glazed chicken recipe depends on emulsifying these ingredients properly for cohesive flavor. Set the glaze mixture aside until chicken reaches the searing stage.
Once both sides of the chicken are seared, pour the glaze mixture directly over the pieces in the skillet. Add butter and let it melt into the glaze, stirring gently to coat each piece evenly. Reduce heat to medium and simmer for 18-20 minutes, basting chicken with accumulated juices every 4 minutes.
Check for doneness by inserting a meat thermometer into the thickest piece—it should read 165°F (74°C) internally. If any pieces haven't reached temperature, cover with a lid and simmer 3-4 minutes longer, checking again. Remove fresh thyme sprigs before serving.