No, Facebook does not send a notification when you unblock someone. The person will not receive an alert, message, or email stating that they have been unblocked.

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If you send them a message or a new friend request, it will be immediately obvious that you are no longer blocking them. Key Consequences of Unblocking

Emma decided to take a step back and assess the situation. She realized that by unblocking Alex, she had opened a door to a new chapter in their complicated history. Whether he chose to reach out or simply observe from afar, Emma knew that she had to be prepared for any outcome.