If the profile picture itself is locked, you can sometimes find a better quality photo of the person by searching for their public interactions. I Can See You - Chrome Web Store
This loads a simplified version of the profile. Long-press (mobile) or right-click (desktop) on the profile picture and select "Open image in new tab" or "Download image" . You can then zoom in on the downloaded file to see it better. 2. Browser Extensions for "Unlocking" Photos
This extension adds a right-click menu option to "Unlock full size profile picture" when you are on a private profile.
Be cautious with extensions that ask for your Facebook login credentials. Stick to those that work "on top" of your active session without requiring separate logins. 3. Using Online Viewer Tools
Offers a Guide and Viewer Tool that assists in finding the high-res version of any public or semi-private display picture. 4. Search for Tagged Photos