The phrase "suggest criticism" is grammatically correct and can be used in written English.
It is typically used when someone is recommending or proposing that someone else provide feedback or constructive criticism. Here is an example sentence: "John asked me to suggest criticism for his presentation so he can improve it for next time."
Republicans on the panel, including Mr. Kean, said that while the White House should allow Ms. Rice to testify publicly and place fewer restrictions on the interviews with Mr. Bush and Mr. Cheney, that was not meant to suggest criticism of the White House.
Second, a distinct meaning based on 'external' was folded into the neologism 'E-language' to suggest criticism of any view that conceives of a natural language as a public, intersubjectively accessible system used by a community of people (often millions of them spread across different countries).
Bouattia suggests criticism of her for campaigning against the government's anti-radicalisation Prevent strategy is because she is a Muslim woman, highlighting that she is far from alone in her concerns about the programme.
But Bonds said he meant to suggest no criticism of Reynolds or the Astros.
We applaud the students' initiative and suggest their criticisms be heard.
He suggested that criticism of him as being aloof was exaggerated.
My own unscientific survey suggested that criticism of Burg was, with few exceptions, general and crossed ideological lines.
Mr. Kelly suggested that criticism from political candidates amounted to "pandering" that ignored the department's core mission.
And for the third straight day, he dealt with the repercussions of his ill-timed comments suggesting that criticism of him was laced with racial undertones.
He is particularly anxious about retaining leaders of the left-leaning Labor Party, and suggested that criticism should now give way to loyalty.
But the key difference, he said, would be a freedom from the "political correctness" which, he suggested, constrained criticism of Islam in Australia.
