Start by preheating your oven to 350°F so it's fully heated by the time the chicken goes in. Pat the chicken pieces dry with a paper towel, which helps the skin crisp up nicely. Season both sides generously with salt and pepper before moving on to the glaze.
In a small bowl, whisk the Dijon mustard, maple syrup, minced garlic, brown sugar, and olive oil until fully combined. The mixture should look glossy and slightly thick. I always give it a taste at this stage to check the sweet-tangy balance.
Arrange the seasoned chicken pieces in your roasting pan, ideally on a rack. Brush about half of the glaze generously over the top of each piece, making sure every inch gets coated. Save the rest of the glaze for later in the cooking process.
Place the pan in the oven and roast for about 40-45 minutes. Halfway through, brush the reserved glaze over the chicken for an extra layer of flavor and shine. This second coat is what really builds that sticky, caramelized finish.
Use a meat thermometer to confirm the chicken has reached 165°F in the thickest part, away from the bone. If it needs a few more minutes, keep it in and check again rather than guessing. Once done, the skin should look deeply golden and glossy.
Let the chicken rest for about 5 minutes before serving so the juices redistribute. This little pause makes a noticeable difference in tenderness. Spoon any remaining pan glaze over the top right before you plate it.