In a medium bowl, whisk together olive oil, lemon juice, lemon zest, garlic, oregano, basil, salt, and pepper to create the marinade.
Place chicken breasts in a large resealable plastic bag. Pour in the marinade, seal the bag, and refrigerate for at least 2 hours, or overnight for best results.
Preheat your grill to medium-high heat. Remove chicken from the marinade and allow excess marinade to drip off.
Grill chicken on direct heat, cooking for approximately 6-7 minutes on each side, or until the internal temperature reaches 165°F.
Once done, let the chicken rest for a few minutes before slicing. Serve with your choice of sides.