We aren't reinventing the wheel here, and we don't need to: Fried chicken and grits are such a tasty, classic combination we don't need to gussy it up or reimagine it fresh. Chicken is breaded, fried, and served with a gravy of green onions and rich demi-glace. OK, maybe a slight bit of gussying; we did add some cheddar to the grits. Flavor yours to taste with the hot sauce, and settle in for a meal that defines tradition in all the right ways.
Trim and thinly slice green onions, keeping white and green portions separate. Rinse chicken breasts and pat dry. On a separate cutting board, cut chicken across width into ¾" slices. Season with ¼ tsp. salt and ¼ tsp. pepper. Place in a medium mixing bowl with liquid egg and toss to coat.
Bread the Chicken
Place breading in another medium mixing bowl. One at a time, remove chicken from liquid egg and add to breading. Toss to coat and place on a plate. Repeat with remaining chicken.
Cook the Grits
Whisk grits into boiling water in a steady stream to avoid clumping. Stir until consistency is slightly thicker than pancake batter. Reduce heat to medium-low and cook, stirring often, 5-7 minutes. Stir white cheddar into grits along with half the butter (reserve remaining for gravy). Season with ½ tsp. salt and ¼ tsp. pepper. Remove from burner and keep warm.
Fry the Chicken
Line a plate with a paper towel. Place a large non-stick pan over medium heat. Add 3 Tbsp. olive oil and chicken to hot pan. Cook undisturbed until browned, 3-4 minutes. Flip chicken and cook until browned and chicken reaches a minimum internal temperature of 165 degrees, 4-6 minutes. Remove chicken to towel-lined plate. Wipe pan clean and reserve.
Make the Gravy
Place pan used to fry chicken over high heat. Add demi-glace, white portions of green onions, and ¼ cup water to hot pan. Bring to a boil and reduce by half, 1-2 minutes. Remove from burner and swirl in remaining butter.
Plate the Dish
If grits have become firm, add 2 Tbsp. water and warm over medium-high heat. Taste, and add a pinch of salt and pepper if necessary. Add grits to a plate or a shallow bowl. Place chicken over grits, then pour on gravy and hot sauce (to taste). Garnish with green portions of green onions.