Add olive oil to a 12" deep skillet or saute pan and place over medium heat. Add the chopped chicken and cook, stirring frequently. Sprinkle chicken with Italian seasoning, a touch of salt, and fresh ground pepper, and continue cooking for 3 or 4 minutes or until chicken is completely cooked through. Transfer chicken to a plate and cover to keep warm. Add remaining olive oil to the pan and add onions. Cook for 2 or 3 minutes, until softened and lightly browned. Add garlic and cook for a minute or two until fragrant.