You can't attach a copy of a folder in Outlook on the web. However, you can share a folder in OneDrive.
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Select the OneDrive icon in the taskbar, and select View online. This will open OneDrive in a web browser.
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On your computer, open File Explorer and go to the folder you want to attach.
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Drag the folder into OneDrive in the web browser.
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Go to Outlook on the web and create a new message or open a message from the message list.
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Select > Browse cloud locations, choose the folder in OneDrive you want to attach, and select Next.
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Select Share as a OneDrive link.
IMPORTANT: By default, recipients will be able to edit the files in the folder. To change permissions so that recipients can only view the files:
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Select > Change permissions > Recipients can view.