ChatGPT may save conversation history, depending on the account settings and the product version being used. In many cases, past chats are stored so the user can return to them later, continue a discussion, or review earlier responses. Some versions also use conversation data to improve the system, although there are usually privacy controls that allow a user to manage whether that happens.
If you want the most accurate information for your specific setup, the best place to check is the current page or the account settings area, since those usually explain how history is handled and whether it can be turned off. If there is a help or privacy section on the page, that is where the details about retention and deletion are usually listed.
If a user is concerned about sensitive information, it is wise not to share it in chat unless they are comfortable with how the service handles stored conversations.