Melt the butter in a large skillet or pan with a lid over medium heat. Season the chicken breasts with salt, pepper, and Italian seasoning, then brown in the butter for 1-2 minutes on each side. Transfer the chicken to a plate without cooking it through.
Add the rice, chicken broth, lemon juice, and the remaining Italian seasoning directly to the same pan without cleaning it. Arrange the partially cooked chicken on top of the rice mixture. Cover the pan with a lid and simmer on medium-low heat for 20-25 minutes, or until the liquid is absorbed and the rice is tender.
Garnish the dish with freshly chopped parsley or cilantro, if desired, and serve with lemon wedges for an extra burst of flavor.