In a deep skillet or pot over medium-high heat, add the olive oil and once fully heated, add the chopped onions and garlic, sautéing until fragrant and translucent, about 2-3 minutes.
Add the marinated chicken and cook on each side until seared, about 3-4 minutes each side. Once brown on each side, add in the carrots, brown sugar, tomato sauce, and chicken stock, stirring everything together until combined.
Let the mixture boil for a minute or so before adding in the thyme sprigs, scallions, scotch bonnet peppers, bay leaves, and reduce heat to simmer for about 20-25 minutes or until sauce thickens and the chicken is cooked through and tender, stirring occasionally. Remove from heat once done.
To serve, enjoy the brown stew chicken with your favorite side (i.e. rice, veggies, etc.). Garnish with a bit of dried parsley, if desired.