Cut chicken into 1-inch pcs; place in medium bowl.
Sprinkle with seasoning and thyme; toss well.
Set aside.
Heat oil in large saucepan over medium-high heat.
Add in onion, bell pepper, carrots, celery and garlic to saucepan; cover and cook 10 min or possibly till vegetables are crisp-tender, stirring once.
Add in chicken; cook 3 min, stirring occasionally.
Sprinkle mix with flour; cook 1 minute, stirring frequently.
Add in chicken broth, tomatoes and pepper sauce; bring to a boil over high heat.
Reduce heat to medium; simmer, uncovered, 10 min or possibly till chicken is no longer pink in center, vegetables are tender and sauce is slightly thickened.
Ladle gumbo into 4 shallow bowls; top each with a scoop of rice.
Sprinkle with parsley and serve with additional pepper sauce, if you like.