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This question already has an answer here:

So like, if I have a profile on puzzling.StackExchange.com and StackOverflow.com, can I remove myself from the puzzling.SE community, rather than deleting my entire account?

marked as duplicate by ale, Glorfindel, rene, Nathan Tuggy, Monica Cellio Aug 1 '16 at 19:36

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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Yes, by default submitting a deletion request will only delete the profile on the site where you submitted the request. It does not affect other sites on the network.