Using delegate permissions means you are limited to what the current user can access, and even a Global admin cannot access other user's OneDrive items by default. The only way you can make this work is to add the user in question as secondary site collection administrator to all your users' OneDrive sites. This of course comes at the cost of privacy, as the admin will then be able to access each and every file stored across all company OneDrives. If that's something you can work with, you can use one of the methods outlined here to add the secondary admin: https://petri.com/4-ways-add-secondary-administrator-onedrive-business
Or use application permissions instead.