Finely dice the celery, onion, and cilantro. Add them to a medium mixing bowl.
Dice the cooked chicken and combine it with the vegetables.
Slice the avocado in half, remove the pit, and scoop the flesh into a small bowl.
Mash the avocado with a fork until smooth and creamy.
Stir in the avocado oil and fresh lemon juice.
Add the avocado mixture to the chicken and vegetables.
Season with salt and pepper.
Gently stir until everything is evenly coated. Avoid overmixing.
Serve your Avocado Chicken Salad No Mayo over crisp lettuce, inside lettuce wraps, on a low carb bagel, or enjoy it straight from the bowl.