A major hint that Azazel survives in the end is the movie itself. Azazel has the ability to recall any memories given to a person he hosts. So, that would explain the moments we see Azazel try to take over Gretta's body. That couldn't possibly be a part of Hobbes's memory because he wasn't there at the time. In other words, the whole movie was Azazel recovering memories of Hobbes and some of his own.
The movie demonstrates that people Azazel possesses don't recall their actions while under control. Think back to Reese at the beginning, trying to possess Hobbes. Had he succeeded, the real Reese would have returned to his own consciousness minutes before his own execution for crimes he has no memory of committing.
Actually, watch the execution scene again. There is a split-second before the gas takes effect where Reese switches from defiantly taunting the witnesses to seemingly panicking in the chamber seat, suggesting that Azazel chose that moment to exit his body and leave him to die.
Don't even think about all the mass murderers and serial killers that were proabably demonically possessed in the film's universe.
