So, get a friend to lie down under a glass desk. Take a coin. Flip it. Do you get to decide whether it's heads or tails? No. Quanta are similarly random, too.

So, have it land on the glass desk. Right after both of you have received the image of the coin, effectively instantly, both of you know if it's heads or tails on the other side. Is this teleportation? No.

Quantum "teleportation" is comparable to this. You can't decide the state of the separated quanta. But both of the observers get to know immediately which random state appeared. Nothing but information gets actually "teleported", and even that information can't be decided beforehand by anyone. What is being transported is not energy/mass, it's information. So, faster-than-light teleportation does not result from quantum entanglement.

This thought experiment was in fact devised by J.S. Bell as "Dr. Bertlemann's socks": he likes to wear differently colored socks, so if you see him wearing a pink sock, then it's certain that the other sock is not pink. See Manjit Kumar, Quantum, Icon Books, London 2009, p. 343.