In Advaita all is nothing but the Self. There is no room for such special manifestations as Avatars. A person is either Self-realized or is not. There are no degrees ~ Ramana Maharshi

CHADWICK REMEMBERED
One often hears people saying that Bhagavan was an Avatar, in this way thinking to add to his glory; but except for the fact that everybody might possibly be called an Avatar, since each of us is God in a human body, there was absolutely no ground for saying so.
One day a Sannyasin belonging to a well-known order, who think that their Guru alone attained Self-realization, challenged Bhagavan in a most aggressive and unmannerly fashion.

Sadhu: “People say that you are an Avatar of Subramaniam. What do you say about it?”
Bhagavan said nothing.
Sadhu: “If it is a fact, why do you keep silence about it? Why don’t you speak out and tell us the truth?”
Bhagavan did not reply.
Sadhu: “Tell us, we want to know.”
Bhagavan (quietly): “An Avatar is only a partial manifestation of God, whereas a Jnani is God himself.”
Here lies the whole difference between Advaita and other philosophies. In Advaita all is nothing but the Self. There is no room for such special manifestations as Avatars. A person is either Self-realized or is not. There are no degrees.