Praise be to Allah.
This action is permissible, i.e., if a person writes Qur’aan in a kind of “ink” that it is permissible to drink (e.g., saffron), then puts what he has written into water and shakes it, then drinks it. Some of the salaf used to do this, using vessels such as plates and the like. If someone does this, he has a precedent in the salaf or early generations of Islam. He may also take as evidence the general meaning of the aayah (interpretation of the meaning):
“And We send down from the Qur’aan that which is a healing and a mercy to those who believe…” [al-Isra’ 17:82]
If a person seeks healing from the Qur’aan in this manner and benefits from it (and there is no text to prove that doing so is haraam and no bad results occur), then it comes under the general meaning of this aayah.