"enigmatic statement" is correct and can be used in written English.
You can use it to describe or refer to something that is mysterious or difficult to understand. For example, "The professor's enigmatic statement left the class confused and wondering what he meant."
And both of these ideas can be seen as refinements of the very first idea in Western philosophy, Thales's enigmatic statement that everything is water.
Both a mistake and an enigmatic statement of intent, it was blown up, framed and signed by the MP, and will be up for bidding at a general election fundraising dinner taking place tonight (tickets still very much available).
Byrne has made work before about the legacy of American artists such as Robert Smithson; here, he takes his title from an enigmatic statement by the sculptor Carl Andre.
The stormy night whisks a strange old tramp, Mrs Whatsit, into the midnight kitchen where Meg, Charles and their mother are sipping cocoa, leaving them with the enigmatic statement that "there is such a thing as a tesseract".
In an enigmatic statement over email, Ma gave some mythical background on the dance-floor bomb.
With an enigmatic statement, the iconic leader of Mexico's National Zapatista Liberation Army (EZLN) announced over the weekend that he no longer speaks for the movement.
Clara Williams has conjured an obscure theatrical ambience by putting up generic plastic signs with enigmatic statements like "A Short Silence" or "(off)." KEN JOHNSON.
Indeed, those at the congress were told that they must not even mention the biggest business and political scandal of the past three years, leaving the president to deal with it in a few enigmatic statements.
Buddhist texts contain a large number of enigmatic statements, of various different types, seemingly to the effect that once a practitioner reaches a sufficiently advanced stage of spiritual development, moral discipline is no longer necessary.
Enigmatic statements have been surfacing around the city.
A4 Enigmatic I.R.A. Statement A New Year's statement from guerrilla leaders repeats a pledge to resolve the disarmament deadlock but also says the next steps must come not from the I.R.A. but from Prime Minister Tony Blair of Britain.
