As a Company Administrator, you can always add a company-issued card to the user profile as a payment method and ensure that the ownership is correct. This applies to expenses that are non-reimbursable and for reporting purposes only.
To change the card ownership for a user from Personal to Company:
1. Go to Admin > Payment Method
2. Click on the payment method in question. Edit payment method page appears.
3. Change ownership from Personal to Company.
4. Click Save.
NOTE: If this option is not available for the users, you need to enable this setting on Admin > Roles > Personal > User > Payment Method - Allow to change card ownership.