I have a DirecTv dish drilled to my apartment patio fence.?

Legally speaking you are not allowed to make any changes to the property without the landlords permission. Attaching the dish to the fence is a modification to the property. If the landlord did not give his permission and you went ahead and did it - then yes, he can either demand a deposit OR removal of the equipment.

I have a dish on the roof. It's attached to a drain vent pipe (with some modifications to the antenna mount). Nothing on the property is modified otherwise. However, in this case it might be considered unsightly or an eye sore, and the landlord is well within his rights to ask you to remove it outright.

There's consequences for acting without proper permission.

Hope this helps.

'av'a' g'day mate.

'')

No, legally they cannot. It isn't even covered if someone steals it so either way you should tell them you won't and can't take it down.

it is not your fence its the landlords and he has every right to tell you to take it down

Of course you have to remove it. You can also expect to pay for the damages to the fence.