Question about trainers daily quests

[Silicon]

Sorry if this has already been asked. I've noticed that some trainers require you to be present at that trainer to complete their daily. Others will allow you to battle and then you'll receive an update to their daily quest that will allow you to complete it anywhere at any time. Which trainers will allow you to finish their daily quest without having to be present at the trainer after the pet battle is over?

[Maizing]

North Barrens (horde)
Westfall (alliance)
Duskwood (alliance)
Redridge Mountains (alliance)
Cape of Stranglethorn (alliance)

All other pet battle dailies need to be turned in to an npc.

Note that you only need to belong to the faction listed to pick up the quests. You can do the actual fights and turn them in on a character of either alignment. You can also do the battles on one character and turn them in on any other character on your battle.net account (even one on a different server). I am including this last bit of info because I am not sure if you already knew it or not.