Add the pear juice, pomegranate cranberry juice, and cranberry ginger ale to a large punch bowl. Stir gently to mix, and taste to adjust sweetness if needed, ensuring the punch suits your flavor preferences.
Drop in the whole cranberries, whole mint sprigs, and cinnamon sticks.
Place the punch bowl in the refrigerator and chill for 2–4 hours, depending on your schedule. The longer it chills, the more the flavors develop.
When it's time to pour, add ice only to individual glasses, not the punch bowl. This keeps the punch flavorful and cold, preventing watering down and ensuring each sip stays refreshing.
Ladle the punch into glasses, garnish with a cranberry or mint sprig if desired, and serve in clear glasses to showcase the festive colors and garnishes.