The phrase "alarming statements" is correct and usable in written English.
You can use it when referring to statements that cause concern or fear due to their content or implications.
Example: "The report contained several alarming statements about the potential risks associated with the new policy."
Alternatives: "disturbing remarks" or "worrisome declarations."
"These are grave, alarming statements, which are without precedent".
Prominent Pirates are prone to making alarming statements (the party's Berlin chief compared its rise to that of the Nazis).
Carson has an ability — honed, no doubt, during his previous career — to deliver alarming statements in a soothing manner.
After the New Year, Clinton put out an ad with a montage of G.O.P. candidates making alarming statements.
You can wonder if Johnson has looked into Ayn Rand, her alarming statements on altruism, American Indians, Arabs, religion, community... whatever.
That said, many consumers are scared off by the warning labels on DEET-based repellents, which contain alarming statements like, "Hazard to humans and domestic animals," "Do not inhale," "Causes eye irritation" and "Do not keep product on any longer than necessary".
"That's not an alarming statement, as it may have been when I said it in July.
The single most alarming statement, in a book that bristles with them, is this one about the military's moral waivers program to admit convicted felons: "Allowable offenses under the program include murder, kidnapping and 'making terrorist threats.' " Finally "Unfriendly Fire" makes a claim for what "don't ask, don't tell" has now become: a punch line.
The second week of the Trump transition brought several new appointments, the first specific policy pronouncements, and the most alarming statement about Presidential power since Richard Nixon declared, in 1977, "When the President does it, that means that it is not illegal".
Stealing a move from Trump's playbook, Ted Cruz made an alarming statement in the wake of the attacks in Brussels.
Even Nevada Senator Harry Reid, a champion of the National Rifle Association as Senate Majority Leader, has attacked his opponent, Tea Party Republican Sharron Angle, for her alarming statement that the people may have to resort to "Second Amendment remedies" (meaning violent revolt against government officials), if politicians like Harry Reid are reelected.
