Many would argue that modernity brought with it an increase in self awareness among individuals. Others would say that such awareness has been lessened in our time (maybe we’ll debate it in the advanced conversation group I’m starting to teach tonight in Jerusalem).
In any case, the Hebrew word for awareness is a Modern one –
If you wish to say, this person is self-aware or aware of himself, you’d say:
Here’s an example in the feminine:
Visit Ktzat Ivrit.