The topmost rule is that the passengers must be 18 years old or older to travel in the cabin with a pet. It is not authorized to sit in an emergency exit or bulkhead row with a pet. Each flight allows only one furry friend in First Class and up to five in the main cabin. One of your carry-on bags should be the pet carrier. You can bring a pet carrier plus a personal item, or a pet carrier and a standard carry-on bag. Remember, you will not be allowed to board the airline with a pet carrier, a regular-size carry-on, and a personal item. A healthy dog or cat should be able to fly without harming themselves. As a result of the stress of travel, elderly or sick pets may be at risk. If you have any concerns about flying with your pet, talk to your veterinarian. One-way pet travel on Alaska Airlines flights costs $100.