Whisk together orange juice and zest, lime juice and zest, oil, garlic, salt, pepper, oregano, and paprika in a mixing bowl.
Place chicken breasts in a gallon-sized zip top bag. Pour in marinade. Seal bag and work marinade over chicken. Place on a plate and refrigerate for 2 hours (up to 6 hours).
Preheat grill. Remove the chicken from the marinade and cook for 5 to 7 minutes per side, flipping once. (3 to 4 minutes per side for thin cut breasts.) Check to ensure chicken has reached an internal temperature of 165 degrees F.
Remove chicken to a serving plate. Garnish with orange and lime slices and parsley if desired. Serve warm.
Notes
I like to use thin cut chicken breasts or butterfly in half regular breasts to help cut down on the cooking time.
You can bake this chicken for about 24 minutes at 400 degrees F or cook it in a large skillet on the stove top over medium heat for about 10 minutes, flipping once. Cook until no longer pink and juices run clear.