I can't find anything in the PHB about how teleporting affects prone creatures. Teleporting automatically ends the restrained condition, I wonder if it also can end the prone condition.
Can a prone creature stand up during the teleport?
Rules Compendium page 213:
Yes, if the creature is trained in Acrobatics.
It's because of this Acrobatics ability:
Please note that one can attempt to reduce falling damage in response to any kind of falling at all. Actually being at risk of taking any falling damage isn't a part of the condition in the Action line.
Falling damage works like this (from the Falling entry):
Importantly, when you fall for less than ten feet, you receive no falling damage. You might see how these two are going to come together.
An acrobatics-trained creature can teleport to the square (cube?) just above the one at ground level. This cube spans 5 to 10 feet above ground level, so the creature is at no risk of taking any actual falling damage (if they were to fall a full 10 feet, they'd be in the cube above). The creature falls, attempts to reduce their fall damage, and reduces their 0 falling damage to 0 on any roll at all (since skills don't have auto-failures on a 1). The creature lands standing.
But there is a way to do it using magic items and the destination point.
Have a magic item like Safewing Amulet - lets you land on your feet when falling. Then Teleport to 10 feet above ground.
Tada! Standing from a teleport.
Using any combination like this works nicely.