Season the chicken on both sides with granulated garlic, Italian seasoning, salt, and pepper.
Coat the chicken lightly in flour, shaking off any excess.
Heat 1 tablespoon of butter and 3 tablespoons of oil in a large skillet over medium-high heat.
Add the chicken and cook for 3-4 minutes on each side, or until golden brown and cooked through. Remove the chicken from the skillet and set it aside.
Add a little more oil to the skillet if needed. Add the garlic and cook for about 15 seconds, stirring constantly.
Pour in the chicken broth and lemon juice, then add the lemon zest. Scrape up any browned bits from the bottom of the skillet and bring the sauce to a gentle simmer.
Reduce the heat to low. Add 3 tablespoons of butter, one tablespoon at a time, swirling the skillet after each addition until melted and the sauce begins to thicken. For a slightly thicker sauce, lightly coat the final tablespoon of butter in flour, add it to the skillet, and swirl until melted and incorporated.
Return the chicken to the skillet and spoon the lemon butter sauce over the top.
Garnish with fresh chives and serve immediately. Enjoy!