In a large glass measuring cup whisk together 2 ½ cups broth, boullon, soy sauce, half and half, and seasonings. Set aside.
Heat a large skillet over medium high heat, add olive oil and butter. Season chicken with salt and pepper, and working in batches, cook about 3 min per side, or until internal temperature reaches 165℉ degrees. Add another drizzle of olive oil between batches if needed. Transfer to a plate to rest.
Pour 1/2 cup of the broth in the skillet and scrape up browned bits over medium heat. Simmer until reduced and nearly evaporated, about 3-4 min. Add the butter, melt, and add the flour, whisking constantly for 2 min to cook.
Pour in the seasoned broth mixture a little at a time, continuously whisking to incorporate until completely combined. Simmer over medium-low heat for 5-7 min to thicken.
Add the chicken back into the gravy and simmer for 3-5 minutes to warm through. Garnish with fresh minced parsley and serve over egg noodles or mashed potatoes.
Notes
Storage: Store leftovers in an airtight container in the fridge for up to 4-5 days. Reheat gently in a covered saute pan over medium low, stirring frequently. Add a splash of broth if needed to loosen up the gravy.