'through this statement' is correct and usable in written English.
You can use it when you want to refer to a particular statement that has already been stated. For example: "The speaker demonstrated her point by referencing several points made in the article, and through this statement she was able to effectively prove her argument."
* Last night, as The Independent print edition was going to press, a spokesperson for BHS emailed through this statement: "The new owners have come in with the clear and stated intention to support the existing management of BHS led by the very experienced Darren Tropp, who we are pleased to announce is now the permanent CEO.
Going through this statement in detail, it first underlines the point that Dolby hasn't just ported its 'standard' Dolby Vision profile onto Microsoft's consoles.
The authors justify this statement through reference to the fact that there are very few immigrants over the age of 55.
The Port Authority issued this statement through a spokesman, Steve Coleman: "We are continuing to explore options for a new temporary home for the Koenig 'Sphere,' where it will reside once we move it from Battery Park".
Mr. Rotella issued this statement through a spokesman: "I believe the facts clearly demonstrate that during my brief tenure at WaMu, my efforts substantially reduced risk and addressed highly challenging business problems that predated my arrival.
The Knicks would not discuss the impending move of the Nets and only issued this statement through their spokesman, Barry Watkins: "We don't comment about business matters regarding other N.B.A. teams".
"What the Council can do, and we hope will do, through the adoption of this statement is to send a very clear message to North Korea that what they have done under the guise of a satellite launch is in fact a violation of their obligations and indeed that there are consequences for such actions," said Susan E. Rice, the American ambassador.
Proof: We prove this statement through induction.
Despite the civil suits, she has not been charged by the government with any wrongdoing and sent this statement through her lawyer: "These paintings were exhibited in museums around the world and heralded as masterworks.
And Chanel sent this statement through a spokesperson: "Authentic Chanel products are only available at Chanel boutiques and authorized dealers". When we objected that it obviously wasn't true, the same spokesperson replied by email: "Unfortunately, Chanel has no further comment.
He made this statement, through a spokesman, in explaining why he was canceling a speech he had agreed to deliver to the Young Presidents Organization.
