How Can I Book an American Airlines Vacation Package? Passengers can use different methods to customize packages for flying with American Airlines. The packages include combining flights, hotels, and car rentals at discounted rates, providing the best travel experience. They can get American Airline Vacation Deals through the official website or dial their customer service number. Read more: https://www.airlinesgrouptravel.com/blog/how-can-i-book-an-american-airlines-vacation-package