The phrase "awareness of himself" is correct and usable in written English.
It can be used when discussing self-perception, self-reflection, or consciousness regarding one's own identity or feelings.
Example: "His journey of self-discovery led to a profound awareness of himself and his place in the world."
Alternatives: "self-awareness" or "consciousness of oneself".
Much of the film's humor comes from his powers of awareness including his awareness of himself as an unlikely adventurer.
He was impressed by traditional Japanese culture and gained an awareness of himself as an artist in a global context.
Only at the end, as if in afterthought, does he step back from his immersion in the Vietnamese night to register his awareness of himself as an alien intruder.
Shortly after William is placed in a prison for slaves, his awareness of himself shifts; another slave says "something, so softly that at first William didn't make it out.
The point I think Baddiel is missing is that his own awareness of himself as "famous" leads him to believe the lack of empathy he experiences is bound up with his difference, his fame.
Richard Morphet sees in this late work, in which Kitaj often renders himself Lear-like, a white beard in the midst of emptiness or chaos, a lonely figure full of longing, evidence of "terse, abbreviated, thrilling images, full of awareness of himself".
First, a newborn's interest in her or his future well-being may be diminished by her or his reduced awareness of her-or himself, and of that future (McMahan 2002, 170).
I don't believe Donald Trump has enough awareness of anything outside of himself to actually be racist.
Although there are moments of hope in "The Romantics," moments when the characters find meaning in lives from other continents, that hopefulness is always tempered by an awareness of what Rabindranath Tagore (himself a great champion of cross-cultural understanding) called the "thorny hedges of exclusion" that spring up between East and West.
He has poor social skills and no awareness of risk or caring for himself.
Weighing about 400 pounds, Esteban showed an amazing awareness of our presence, carefully distancing himself from us before engaging his powerful tail.
