Unless the lease allows it, a tenant may not sublet (rent
the house or apartment to another person) without the
consent of the landlord. Tex. Prop. Code 91.005 If a
tenant sublets the house or apartment without the consent
of the landlord, the landlord may evict the subtenant and
sue both the subtenant and the original tenant for any
damages caused by the subletting arrangement.
Landlords do not like subletting in general because you are
getting into their business. If you are renting out their
place for more money, they want to be making that extra
profit and not letting you keep it. And if you are
subletting because you could not stand the place or you
could not afford it or got transfered or some other good
excuse, you are not giving the landlord the chance to rip
you off -- if you prematurely terminate the lease then they
of course will get even more of your money. Then they can
rent the place out again and hope they have to move early
too.
If the lease does permit you to sublet your place,
subletting is still complicated. Unless the subletter (the
person renting from you) and the landlord sign a lease
agreement with each other, you will become the landlord of
the new tenant. For example, your subtenant will have to
request repairs to the apartment from you. You will then
have to request the repairs from your landlord. Moreover,
you remain liable to your landlord for the rent. So, if
your subtenant stops paying rent, you will have to pay rent
to your landlord and attempt to seek reimbursement from
your subtenant. You will also be liable to your landlord
for any damage done by your subtenant. If you must move out
of your apartment, you should attempt to get your landlord
and the person moving into your apartment to agree to a
lease between each other. You should have your landlord
release you in writing from any further liability under
your lease. This will avoid the undesirable situation where
you are stuck in the middle between your landlord and your
subtenant.