To resolve this, the user role has to have a minimum permission level of ‘Edit’ for Customers.
1. Login as Administrator.
2. Navigate to Setup > Users/Roles > Manage Roles.
3. Edit the role.
4. In the Permissions tab > Lists subtab, set the Customers permission level to Edit or Full.
5. Click Save.
Note: The update of the contact role technically modifies the Customer record, thus, the role requires editing rights.