Preheat oven to 400 degrees. Remove ends from zucchini and cut in half lengthwise. Use a spoon to remove all seeds from the center, chop into ¾" pieces and place in a large mixing bowl. Add broccoli florets, onion, bell pepper and whole garlic cloves, drizzle with olive oil and toss to coat.
Spread vegetables evenly on a large rimmed baking sheet and sprinkle with salt. Roast 18–22 minutes until softened and brown around the edges.
Stir together cream cheese, garlic powder, onion powder, basil and lemon juice or red wine vinegar in a large bowl. Place cooked chicken into food processor and pulse until very finely chopped. Combine with cream cheese mixture and set aside.
Remove veggies from oven and cool slightly, then add to food processor and pulse to desired consistency. Remember, you want to leave some texture to the veggies, but they still need to be spreadable.
Fold chopped vegetables into chicken mixture. Season to taste with salt and pepper then cover and refrigerate for at least 2 hours. Remove from refrigerator 30 minutes prior to serving so that it is easily spreadable. Enjoy with crackers, crostini or even fresh vegetables.
Notes
If you have fresh basil on hand, just double the amount to 2 chopped teaspoons.