Preheat the oven to 400°F (200°C).
Pat the chicken pieces dry and season all over with salt and pepper.
Heat 2 tablespoons vegetable oil in a large 12-inch skillet over medium-high heat.
Working in batches if needed, place chicken skin-side down and sear until golden, about 6 minutes; flip and cook 2 more minutes. Transfer seared pieces to a platter and continue with remaining chicken.
Return the skillet to medium heat and pour in 1 cup chicken broth, using a wooden spoon to scrape up browned bits from the bottom.
Stir in 2 cups mole sauce and bring the mixture to a gentle simmer.
Nestle the seared chicken pieces into the sauce, spooning some sauce over the tops so they are coated.
Transfer the skillet to the preheated oven and bake until the chicken is cooked through, about 35 minutes; cover with foil if the sauce is browning too much.
Remove from the oven, spoon additional sauce over the chicken, sprinkle with toasted sesame seeds, and serve.