Arrange tater tots in a single layer of a 9x13 baking dish. Bake according to the package instructions. Meanwhile, prepare the chicken and sauce.
Place cut chicken into a plastic Ziploc bag with the flour, 1 teaspoon salt, and pepper. Shake the chicken bag to evenly coat. Heat oil in a frying pan and add chicken. Fry chicken until cooked throughout.
Add remaining ingredients (cream of celery soup, water, onion, parsley, remaining salt, and thyme) to a small saucepan and heat over medium-high heat until boiling.
When tater tots are baked and crispy, add chicken in an even layer over the tater tots. Cover with the sauce, pouring evenly through the dish.
Cover and bake at 350 degrees F for 30 minutes or until heated through and the chicken is tender.
To reheat, bake at 350 degrees F for 15 minutes, or until heated through.