The phrase "cites a quote" is correct and usable in written English.
For example: In his speech, the politician cited a quote from Abraham Lincoln that "It's not the years in your life that count, it's the life in your years."
Norden cites a quote from Chaney, saying this film made Chaney realize that "the screen was more interesting than the stage".
The Republican response to Obama's SOTU cites a quote from newly elected Republican Senator Scott Brown -- Election 2012, here comes Brown.
In his description of the show, the artist cites a quote by Warhol: "A Coke is a Coke and no amount of money can get you a better Coke than the one the bum on the corner is drinking".
Actual question asked on Fox News Sunday: Roberts cites a quote from Hagel in which he said, "I will do everything I can to avoid needless, senseless war," and then asks, "Is that a reasonable position?" Just gonna copy and paste that last paragraph four more times.
"It's a futile aspiration," Ms. Barnard said, citing a quote by Errol Morris: "Truth isn't guaranteed by style or expression.
Entitled Hari Kari/Hackery, the original DSG posting, written on 17 June, cited a quote Negri gave Hari on the subject of memory in the 2004 interview.
MARKETERS often cite a quote generally attributed to John Wanamaker, the pioneer department store merchant: "Half the money I spend on advertising is wasted; the trouble is I don't know which half".
Opponents to Barack Obama's Defense Department pick have complained that he is only lukewarm towards America's traditional Middle East ally, citing a quote in which Hagel appears to criticise the influence of pro-Israeli lobbyists in Washington.
"So much of the energy of great work to me is feeling the echo effect on every line, of not knowing where it came from," he said, citing a quote — this one attributed — from Graham Greene that he uses as one of the book's epigraphs: "When we are not sure we are alive".
CLARIFICATION: An earlier version of this article cited a quote about Jane Reno, Janet Reno's mother.
Journalist Peter FitzSimons criticised the lack of grammar checking and copyediting, citing a quote from Kieren Perkins, which was rendered thus in the publication: "I was over the moon.
