Remember, as the tenant, the home is YOUR home for as long as you’re paying rent. You don’t need to facilitate the sale and make sure that the lender knows that you’re the tenant (so the lender doesn’t think that the owner is selling his personal residence. You know, people lie).
If I were you, I’d flatly refuse to show the house to potential buyers. You’re entitled to undisturbed enjoyment of the property you’re paying for.