If you use Adsense for domains, you would host it, Google would. And most parking providers do not allow you to create any links or send any traffic to a parked domain. Some do, but you will have to check with any provider you are thinking about using first.
Some people do what you are describing and a lot more, but most if not all of them are caught and then they have their account closed. If your parking provider does not allow you to promote your parked domain, your only option is to do the promotion BEFORE parking. That may be ok, but again you need to check the rules of the parking service tht you use.