Stir together the sauce. In a medium saucepan, combine BBQ sauce, peach preserves, minced garlic, and hot sauce (if using). Heat over medium heat for 5 to 10 minutes until hot. Set aside.
Preheat the oven. Turn on your oven to 400°F to get it ready for baking.
Prepare the chicken. Lightly brush two rimmed baking sheets with olive oil. Place chicken thighs skin side down on the sheets. Roast in the preheated oven for 25 minutes.
Sauce and flip. Take the chicken out of the oven briefly, brush generously with the BBQ sauce mixture, then carefully flip each thigh over. Brush the top side with more sauce and return to the oven for 7 minutes.
Final touches. Remove the chicken from the oven, apply another coat of sauce, and increase the oven temperature to 425°F. Roast for a final 5 to 7 minutes until the sauce begins to caramelize and the chicken is fully cooked. Let it rest for 10 minutes before serving.