The phrase "clearly aware of that" is correct and usable in written English.
For example, you can use it in the following sentence: "He was clearly aware of that fact, yet he still chose to ignore it."
The buck stops with me, and I was very clearly aware of that.
Clearly aware of that possibility, Mr. Forbes urged conservatives here to rally around him as the conservative alternative to Mr. Bush.
Obama was clearly aware of that Thursday, with Republicans still getting mileage with their base from regularly voting to repeal Obamacare.
Aronofsky is clearly aware of that prejudice, and the one moment he permits us to leave the closed and controlled world of the ballet company, he faces it head on.
Neo-Paris is a gorgeous environment to explore, from its slums to its skyscrapers – and its designers are clearly aware of that, raising Olivier Derivière's soundtrack whenever a new vista opens before Nilin – and those personalised combos, almost rhythm-action-like in execution, keep combat varied, if not exactly fresh.
Both sides are clearly aware of all that is at stake in restoring the health of the North American economy, and will use the meeting to heal wounds and rebuild a friendship between good neighbors.
They were also clearly aware of the impact that too many duties not directly related to patient contact, aggressive patient behaviour, and low staff numbers could have on depleting staff members' internal resources, ultimately affecting their sense of satisfaction and enjoyment at work and their ability to engage in positive therapeutic relationships.
She's clearly aware of the power of that image, and the goodwill that nostalgia can engender for her; hell, she closed her set with a cover of Simple Minds' Don't You Forget About Me.
This interview excerpt implies that she was clearly aware of the social categories that divided students based on various institutionalized factors (e.g., race, immigrant status, language) and acknowledged that she tended to socialize almost exclusively with recently arrived Korean transnational students like herself.
She's clearly aware of the imagery that she's playing around with, but is presenting it without an obvious value judgment attached, rather than glamorising or damning it.
Co-founder Eston Bond is clearly aware of this, saying that with just a very small group of users, some are already finding the tweet updates "a bit noisy".
