'veiled suggestion' is a correct and usable phrase in written English.
You can use it when you want to imply that something was suggested indirectly or subtly. For example: "Although the professor never said it directly, I got the feeling that there was a veiled suggestion that I retake the course."
It was a barely veiled suggestion that Adams, with his appointments, had usurped the will of the people.
Their report was met with the usual snobbery, allegations of "Mcjobs" and the thinly veiled suggestion that it's perhaps a good option for other people's children.
Parcells made a thinly veiled suggestion that he suspected there was something in the works between Belichick and the New England Patriots before Belichick quit the Jets and took over the Patriots.
To add more sizzle, Parcells, in an interview recently, made a thinly veiled suggestion that perhaps Belichick had something in the works with the New England owner Robert Kraft long before he resigned.
He went on: "At the same time we did not want to underplay the major holes in the case (which we itemized in considerable detail) and we did not want to treat our new material unskeptically, because there were serious questions about how reliable that evidence was — including a thinly veiled suggestion by the defense that it might have been fabricated.
A police spokesman, in defending use of the spray, offered a veiled suggestion that the video might have been edited to make the officer look bad.
I am appalled by his thinly veiled suggestions that Dr. Hansen's government superiors do something about his activism.
The match in Cardiff was conducted in splendid spirit almost throughout, but there have been veiled suggestions that might change.
And there were veiled suggestions from some people at the meeting that he was not registering everything they said.
There is a brief and horrid suggestion, too nasty and macabre for words, about a sex tape and particularly baroque sex practices, together with beefed up security and veiled suggestions of her life being in danger.
Trump's threats carry a not-so-veiled suggestion of military force.
