In the 2002 SpidermanSpider-Man movie, Norman "talks" to his alter-ego who gives him advice on how to kill SpidermanSpider-Man (strike at the heart) and it is obvious that he is part of Norman's fractured psyche.
However at the end of the 2004 movie, long after he is dead, he appears to Harry in the mirror and, seemingly inadvertently, leads him to the Goblin gas, glider and armour. Harry was one seriously crazed up fruitloop, but at that point, he had not been exposed to goblin gas, so it’s unlikely his psyche would split, manifest himself as his father and lead him to the secret goblin cache.
So is Norman's goblin consciousness lingering as a ghost or malevolent spirit?