When this card is Special Summoned: You can target 1 card in your Pendulum Zone; Special Summon it, also this card cannot attack for the rest of this turn. You can only use this effect of "Odd-Eyes Meteorburst Dragon" once per turn. Monsters in your opponent's possession cannot activate their effects during the Battle Phase.
Um, no. It actually is all of what the OP said. If your opponent has a monster in either of those places, he cant use their effects during battle. No field effects, no hand traps, no graveyard banishing, no nothing