Shred the cooked chicken breast into fine, even pieces to ensure a smooth and creamy consistency in the final spread.
In a mixing bowl, combine Greek yogurt, cream cheese, and olive oil, stirring until the mixture becomes smooth and well blended.
Add minced garlic, chopped herbs, salt, and black pepper into the mixture, mixing thoroughly so the flavors are evenly distributed.
Incorporate the shredded chicken into the creamy base, stirring gently but consistently until every piece is fully coated.
Taste the mixture and adjust seasoning if needed, adding more herbs, salt, or pepper according to preference.
Cover the bowl and place it in the refrigerator for at least 30 minutes to allow the flavors to develop and the texture to firm up slightly.
Remove from the fridge, give it a quick stir, and serve as a spread, dip, or filling for wraps and sandwiches.