Preparation of Cooking Medium: Begin by heating one tablespoon of olive oil and one tablespoon of butter in a large frying pan over medium to medium-high heat.
Preparation of Chicken: Proceed by slicing the chicken breast in half lengthwise to create four thinner pieces. Season each piece uniformly with kosher salt and freshly cracked black pepper. Following seasoning, dredge the chicken thoroughly in all-purpose flour, ensuring each piece is evenly coated.
Cooking of Chicken: Place the flour-coated chicken pieces into the preheated pan. Allow them to cook for approximately 4-5 minutes on each side or until they achieve a golden brown crust and are nearly cooked through. Once achieved, remove the chicken from the pan and set aside, reserving any juices that have accumulated.
Sauce Preparation: In the same pan, add the remaining tablespoon of butter. Reduce the heat to medium-low, allowing the butter to foam before adding the thinly sliced garlic. Stir the garlic continuously for 30-60 seconds, ensuring it becomes fragrant but does not brown.
Deglazing and Sauce Finalization: Introduce the soy sauce and seasoned rice vinegar to the pan to deglaze it, carefully scraping up any flavorful bits that have adhered to the bottom. Add the honey to the mixture along with a few pinches of black pepper and a small pinch of salt. Allow the sauce to simmer over medium-low heat for about 4-5 minutes, or until it thickens sufficiently to coat the back of a spoon.
Combining Chicken with Sauce: Return the previously cooked chicken along with any collected juices to the pan. Let the chicken simmer in the sauce for an additional minute or until thoroughly warmed through.
Serving: Serve the chicken garnished with thinly sliced green onions to enhance the visual appeal and add a fresh, crisp flavor contrast to the dish.