The first thing you should do to fight a credit card dispute is to notify your credit card company of the issue. Provide them with enough detail to be able to investigate the dispute, such as the date, amount, and vendor related to the disputed credit card charge. They will then take time to investigate and make a decision. If they decide in your favor, then great. If they don’t, then you have the option to file a civil lawsuit against them in court, or demand arbitration if the credit card agreement requires it.