Remove any surface moisture on chicken by patting it dry with paper towels. Sprinkle chicken cubes with 1 teaspoon salt and 1/2 teaspoon black pepper tossing to evenly coat
Heat oil over medium heat until it shimmers. Add cubed chicken and cook on both each side for 3 minutes. (Chicken will not be completely cooked through ~thats okay.) Transfer chicken to a plate; set aside. Remove any oil from the pan, leaving brown bits.
Melt butter (4 tablespoons) over medium heat. Add onion (1/2 cup), red bell pepper (1/4 cup), celery (2 stalks), and carrots (1) then cook, stirring frequently and digging down to the bottom of the pan to loosen up any brown bits, until the vegetables are very tender, about 8 minutes.
Stir the mushrooms (8 ounces), and thyme leaves (2 teaspoons), into the skillet and continue to cook, stirring often, until the mushrooms are tender, about 3-5 minutes.
Sprinkle flour (1/4 cup) over cooked vegetables then stir until vegetables are evenly coated. Continue to cook, stirring constantly, for 1-2 minutes or so to cook out flour taste.
Slowly stir in the chicken stock (1 cup), stirring down to the bottom of the skillet to lift up any brown bits. Add 1/2 teaspoons salt, 1/4 teaspoon black pepper, the Better Than Bouillon and stir, until bouillon is dissolved. Pour in heavy cream (1 cup) and simmer, stirring often, until sauce thickens, about 3-5 minutes.
Stir in the partially cooked chicken and gently simmer for about 6 minutes.
Add the green peas (1 cup), sherry (2 tablespoons), and Tabasco sauce (1 teaspoon). Cook on low for another 2 minutes. Chicken should be completely cooked at this point. Taste and adjust salt and pepper. Sprinkle with fresh parsley (1 tablespoon) and serve over rice, biscuits, or buttered noodles.