Add olive oil, lime juice, cilantro, garlic cloves and seasonings to the bowl of a food processor. Pulse a few times until garlic and cilantro are finely minced and well incorporated.
Pour marinade into a gallon ziploc bag.
Add chicken breasts to bag, seal tightly releasing all of the air.
Gently shake up the bag, being sure to get chicken fully covered by marinade.
Let sit in the fridge for at least 30 minutes, up to 4 hours.
Grill or bake chicken until fully cooked and no longer pink in the middle.