The phrase "able to admit that" is correct and usable in written English.
It can be used when discussing the capacity or willingness of someone to acknowledge a certain truth or fact.
Example: "After much reflection, she was finally able to admit that she had made a mistake in her judgment."
Alternatives: "capable of acknowledging that" or "willing to concede that".
We should be able to admit that and keep Trident.
"Why will no banker ever be able to admit that performance cannot be measured adequately?
To him, the big bonuses this year signaled that "Wall Street hasn't been able to admit that yet".
Neither Mr. Romney nor any of the Republican candidates are able to admit that sometimes only the government can rescue a major sector of the economy.
A few weeks before sending the bulldozers to eradicate Netzarim and Kfar Darom, he was still not able to admit that partition would be his legacy.
You have not felt able to admit that you made a promise to the American President that you should never have made.
All of us know, whether or not we are able to admit it, that mirrors can only lie, that death by drowning is all that awaits one there.
Duret said, "The patient has to mourn this perfect body, to be able to admit afterward that, effectively, 'My body is no longer what it was, but, thanks to the prosthesis, I can do this, do that.' " One afternoon while I was sitting in an Arimed examination room, I saw Tommy Foday, the driver who had lost both hands, take off his sweatshirt so that his prostheses could be adjusted.
It is not until you are able to admit this that you will be willing to get help from God and others.
But here's the thing; being able to admit and accept that the original warehouse raves thrown here in the UK and across the rest of the over-developed industrial world in the late 1980s were genuinely radical reclamations of work-orientated city-space for the primary purpose of pleasure, doesn't mean we have to accept what ended up happening to that optimism and idealism.
We are not able to admit to ourselves that our behavior is antisocial.
