Thank you for posting your question in the Microsoft Q&A forum.
Based on the information you provided, I understand that you have multiple Quick Links pointing to different folders within a document library. Each folder has different permissions, and your goal is that when users access the main page, they should only see the Quick Link that corresponds to the folder they have permission to access.
After doing some research, it appears that Audience Targeting for the Quick Links web part is currently supported only in SharePoint Online. Unfortunately, in SharePoint 2019, this feature is not available, and there is no built-in way to automatically filter Quick Links based on the current user’s permissions.
If possible, you may need to consider alternative solutions instead of relying on out-of-the-box configuration.
Based on what I found, some users have similar requirements where they want Quick Links to a document library (or folder) to be visible only to users who have permission. You may find the discussion below helpful:
For your specific scenario, quick links pointing to individual folders, please refer one possible workaround is:
Use a SharePoint list to store the links instead of the Quick Links web part > Create a SharePoint list where each item represents a link to a specific folder > Configure unique permissions on each list item so that only the appropriate user group can see that link > Then, add this list to your page using a List web part.
Please note that this approach will display the links as rows in a list, which is not as visually appealing as the tile-based layout of the Quick Links web part.
I hope this information helps.
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