Usually you can't take the icon down. But if you contact chess.com staff they may be able to take it down.
The link: https://support.chess.com/customer/portal/emails/new
Premium Icon
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Are we incognito?
The premium icon is a form of advertising -- "I pay to play, you cheapskate."
Is there a way to remove the premuim icon? I prefer for my opponents not to know that I bought the premium account.