The phrase "a document that suggested" is correct and usable in written English.
You can use it when referring to a document that proposes an idea, recommendation, or course of action.
Example: "The report was a document that suggested several strategies for improving employee productivity."
Alternatives: "a paper that proposed" or "a report that recommended".
Most startling of all is a document that suggests we might have to revise our most basic assumptions about the man behind the moustache.
For example, complaints in 2012 that the iPhone's camera lens sometimes produced an undesired purple flare effect were dealt with by a support document that suggested users move position or shield the lens with their hand.
It hasn't helped matters that AOL has changed strategies as often as Lady Gaga switches out sunglasses, including the much-hated "AOL Way," a leaked document that suggested that the company was far more interested in mass-produced link-bait than building and supporting unique publishing brands.
A report published Wednesday in The Washington Post cited a previously undisclosed document that suggested that Iraq might have destroyed its biological weapons as early as 1991.
But Mr. Towns added a twist by suggesting that the oversight committee would not itself handle any documents that suggested special favors or influence-buying involving members of Congress.
But in the face of an impressive series of documents that suggested the contrary, he stoutly resisted his interlocutors' efforts to make him concede that fund-raising was going on at either White House "coffees" (of which he attended either one, according to Mr. Gore, or some 30, according to other reports) or the luncheon at the Buddhist temple.
"We searched for evidence that the Weiner laptop was deliberately placed on the back burner by others in the FBI to protect Clinton, but found no evidence in emails, text messages, instant messages, or documents that suggested an improper purpose," according to the report.
A13 CBS News mounted a vigorous defense against critics who doubted the authenticity of documents that suggested Mr. Bush had shirked his National Guard duty.
The WikiLeaked documents that suggested the US embassy viewed Abrahamyan as a "thug" who engaged in "dirty-money politics"?
Think back to 2008, when WikiLeaks simply released documents that suggested the government of Kenya had looted its country.
