The phrase "allowed all that" is correct and usable in written English.
It can be used to express that someone has been permitted to do or have something, often in a context where the speaker is questioning the permissibility or reasonableness of it.
Example: "I can't believe they allowed all that chaos to happen during the event."
Alternatives: "permitted all of that" or "let all of that happen".
The cabin has been gutted and cleaned, with rotted floors replaced, but the decorators have wisely retained the appeal of the natural surround and allowed all that warm pine to set the mood.
Maybe his open-mindedness allowed all that theosophist claptrap in.
Had Cyprus not allowed all that money to flow into the banks in 2008 and 2009, they presumably would have bought fewer Greek bonds, and lost less money on them.
The same can be said for the rating agencies and the institutional investors who bought the securitizations, not to mention the regulators who allowed all that to happen and the press that failed to call enough attention to what was going on.
The key to Cinderella's happiness was that she never allowed all that she lost and all those who mistreated her to define her.
But of course it wouldn't have been a gay pride parade if people allowed all that injustice to shit on their mood.
It has the sure-footedness of great short story writing and a sense of confidence in the sparseness of the form that extends from the writer to the reader, allowing all that is not said to hold sway on the imagination.
Despite the attacks of division neither the Caribbean nor I will allow all that we stand for to be destroyed.
But new Internet-based technology and other innovations now allow all that content to travel over unified digital networks.
Trent does not play it cool — he dresses in the tight gear, gets all sweaty, stays sweaty and allows all that energy to go back and forth.
But the second- and third-row seats are subtly shrunken to maximize the space and allow all that magical flat-folding.
