Not all issuers require a checking or savings account. And if they do so, it is usually clearly stated in card description. Check your credit score before you apply for a card. When you know your credit score, see what credit cards fit your score and don’t require a checking account.
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All rates and fees, and other terms and conditions of the products mentioned in this article/post are actual as of the last update date but are subject to change. See the current products' Terms & Conditions on the issuing banks' websites.