I don't know if there are parasites that can transfer or not. But I do think the risks of airborn issues are slim to none. I wouldn't worry about the gecko being in the same room, so long as you're sure it's free of mites. Then proceed to treat it as IF it were in QT...don't share any tools between cages...always wash wash wash between handling critters....stuff like that.
EDIT: I don't even know if the snake mites we're always worried about will get on geckos...but any crawling bug is something you want to avoid spreading around.![]()