The phrase "a statement on what" is correct and usable in written English.
It can be used when introducing a discussion or explanation about a specific topic or issue.
Example: "The report provides a statement on what the company plans to do in response to the recent market changes."
Alternatives: "a declaration regarding" or "an explanation of".
The entire performance was a statement on what, and whom, today's Republican Party considers marginal.
"Craig should be allowed to make a statement on what he based the call on," Watson told The Independent.
For example, after the Coalition's first budget, McGowan was asked the next day for a statement on what she thought.
| Update | The climate panel has issued a statement on what it described as the "regrettable" posting of the documents by a reviewer who had agreed to confidentiality.
The debate on Jewish organ donation was reignited this week with a statement on what constitutes death according to religious law (halacha).
But on Thursday, a statement on what appeared to be the group's Facebook page asserted that the rebels had acted to protect the Filipino unit from a Syrian government assault.
Volkert van der Graaf, a vegan animal-rights activist accused of Mr Fortuyn's shooting, has yet to make any statement on what motivated his action.
How much of it is parody and how much is a greater statement on what Gilbert was writing about?
Many of the people I spoke to refused to offer a definitive statement on what had gone on, and instead focused on the very real human tragedy.
"The topic is too big, there's too many people who live with it, and too many moving pieces for anyone to do a definitive statement on what depression is like for everyone," Quinn told me.
"Everyone wants a definitive statement on what happened to the ground and how it got sold under the football club," Masters said.
