In a food processor, add 1/4 cup olive oil, avocado, basil, garlic, and juice of 1/2 lemon and blend until smooth. Set avocado sauce aside.
In a large skillet, heat 1 tablespoon of olive oil over medium-high heat. Add the bite-sized pieces of chicken and season with garlic power and black pepper. Cook until browned and cooked through, about 3-4 minutes per side.
In the same skillet, add cooked pasta, cherry tomatoes, avocado sauce and grated parmesan cheese and cook for an additional 2-3 minutes to toss everything together until well combined.
Adjust the seasoning with salt and pepper to taste and garnish with grated Parmesan cheese and more fresh basil if desired.