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 necessary, add chicken skin-side down and sear until golden, about 6 minutes; flip and cook about 2 more minutes. Transfer seared chicken to a platter and repeat with remaining pieces.
Return the skillet to medium heat; pour in 1 cup chicken broth and scrape up any browned bits with a wooden spoon.
Add 2 cups mole sauce to the pan and stir to combine with the broth; bring the mixture to a gentle simmer.
Arrange the chicken pieces in the sauce, nestling them so they are partially submerged, and spoon sauce over the top.
Transfer the skillet to the oven and bake until the chicken is cooked through, about 35 minutes; cover loosely with foil if the sauce on the chicken is getting very dark.
Remove from the oven, spoon additional sauce over the chicken, sprinkle with toasted sesame seeds, and serve.