Now you can rename containers with Microsoft "Microsoft Azure Storage Explorer" (after version 0.8.3). You can also rename azure tables and shared folders with this tool. See release notes here .
Please note that during use this function has the following disclaimer.
Renaming is done by copying to the new name and then deleting the source element. Renaming a blob container is currently losing container properties and metadata, and it may take some time if there are many blocks.
Therefore, this is not actual renaming behind the scenes, but the cost of reading / writing / transaction.
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