"admit being" is correct and usable in written English.
You can use it when you are acknowledging or accepting something as true. Example: She finally admitted being wrong about her assumptions.
I have to admit being surprised that this got such a blockbuster laugh.
The first big companies to admit being in trouble were in construction, retailing and property.
Once a player is known to be 6-8, he does not want to admit being 6-6.
Partly that reflects vested interests, for austerity policies serve the interests of wealthy creditors; partly it reflects the unwillingness of influential people to admit being wrong.
It would be particularly hard for a northern man to admit being middle class, because that would imply a decadent taste for physical ease.
Human rights groups, as well as families and colleagues of the defendants, said the health workers had been tortured, threatened and forced to admit being guerrillas.
If a leader cannot admit being wrong in a timely fashion, he or she can never correct mistakes, change direction, and restore success.
Forty-eight percent of adults said it was embarrassing for teenagers to admit being virgins, but just 26percentt of teenagers believed the same.
Most interestingly, he was also shown to be a man prepared to admit being wrong, gruffly apologising to Jon Snow about the tunnel before heading to his doom.
But objective measures have confirmed those trends, and the willingness of more boys to admit being virgins is itself a signal of cultural change.
No one wants to admit being wrong back then, and all want to believe that what happened back then proves they are right today.
