In an effort to reduce delays and speed up the boarding process, Qatar Airways is changing its baggage policy. Get Help with Your Qatar Airways Business Class Flight. Passengers will only be allowed to bring one carry-on bag and one personal item on board. Larger bags will need to be checked at the ticket counter. Dial our Qatar telephone number + 1 888 413 6950 to know more about Qatar Airways Baggage Policy or carry-on policy in Business Class.