Marinate the chicken breasts in olive oil, oregano, lemon juice, salt, and pepper for at least 30 minutes.
In a large skillet, heat a tablespoon of olive oil over medium heat. Add the marinated chicken breasts and cook for about 6-7 minutes on each side until they are golden brown and cooked through.
Once the chicken is removed, use the same skillet to sauté any leftover marinade for a minute before adding the rice.
Add the long-grain rice to the skillet and stir it into the remnants of the marinade. Cook for about 1-2 minutes, allowing the rice to toast slightly.
Pour in the chicken broth along with lemon zest, bringing the mixture to a gentle boil.
While the rice cooks, keep the chicken warm on a plate covered with foil to retain heat.
Once the rice absorbs all the liquid, fluff it gently with a fork before removing it from heat.
Serve the cooked chicken on a bed of lemon rice, garnishing with fresh parsley and additional lemon wedges if desired.