The issue relates to different profiles and permissions attributes in Windows
An Access Denied error message prevents from viewing certain folders of an image archive mounted as a logical drive in Windows.
The most common reason why you might run into this error message, even if you are using a computer with the same user name, is that the user profile and permissions could be different from those on your original system. Different permissions and profiles might make you unable to view certain files and/or folders.
There are two ways to work around such a situation:
You can restore just the folders you need by running the Acronis True Image Recovery Wizard and selecting the Restore specified files or folders option.
You can restore the image archive (at least the necessary partition) and take ownership over the files and/or folders you need in your new profile and permissions. You then will be able to access, view and change these files and/or folders.
Microsoft provides instructions on how to take ownership over the files and/or folders you need in your new profile and permissions. You can find them in Microsoft Knowledge Base Article 308421.
See also Access Denied to Files or Folders Restored with Acronis True Image.