The cheapest way for many people to get access to American Airlines clubs is with the premium Citibank co-brand AAdvantage Executive card. It has a $450 annual fee and comes with membership. What’s more, additional cardholders have no fee and can use the card for entry including inviting two guests. You can get 10 additional cards, so with a total of 11 cards that’s 33 total admits.
But there’s a cheaper way, even, to get this card.