In a mixing bowl, combine the olive oil, minced garlic, lemon juice, lemon zest, dried oregano, salt, and pepper.
Add the chicken breasts to the marinade, ensuring they are well-coated. Let them marinate for at least 15 minutes (or refrigerate for up to 2 hours for more flavor).
While the chicken marinates, rinse the rice under cold water until the water runs clear.
In a rice cooker or pot, combine the rinsed rice and chicken broth (or water). Cook according to package instructions for the rice.
In a large skillet over medium heat, add the marinated chicken breasts. Cook for about 6-7 minutes on each side or until they are golden brown and cooked through (internal temperature should reach 165°F).
Once cooked, remove the chicken from the skillet and let it rest for a few minutes before slicing.
Fluff the rice with a fork and divide it among four plates. Top with slices of the lemon garlic chicken.
Garnish with fresh parsley if desired and serve immediately.