While the landlord may want to place an inquiry into the tenant's credit report, the inquiry must be legitimate. The credit report may not necessary confirm the tenant's current employment (especially for a new job). The proper course of action would be to issue the Notice to Pay Rent or Quit, if the rent is not paid on time. Otherwise, the tenant can sue for excessive or unauthorized credit inquiries which damages the credit rating.
Even with a legitimate authorized inquiry, the tenant's credit may be affected by the credit access and has the right to sue. (Just be careful not to be abusive, it may be easier and less invasive to request confirmation of employment.)