The phrase "agitated conversation" is correct and usable in written English.
It can be used to describe a discussion that is marked by excitement, anxiety, or unrest, often involving raised voices or emotional exchanges.
Example: "The meeting quickly devolved into an agitated conversation, with participants expressing their frustrations loudly."
Alternatives: "heated discussion" or "frantic dialogue".
Then I saw three women at his usual spot, in agitated conversation.
Mr. Reid could be seen browbeating Mr. Nelson, and in a somewhat agitated conversation with Senator Claire McCaskill, a Democrat of Missouri, one of the last to vote.
After the event, I noticed the woman who had asked this question having a rather agitated conversation, inquiring of someone who appeared to be a superior.
Yes, "I 3/5sheart 4/5 the Burbs" hit a nerve, and the agitated conversation continued all the way to "Westchester: The American Suburb" at the Hudson River Museum, where we had a much more pleasant visit.
In St . Petersburg Fla., 15-year-old Betty Klenck heard a woman identify herself as Earhart, followed by pleas for help and agitated conversation with a man who, the girl thought, sounded irrational.
Products of a brief marriage, Mira and her sister had a childhood punctuated by their mother's agitated pacing, her fierce conversations with herself, her suicide attempts.
Nearly half of "Glittering Images" is devoted to the 20th century, and as the book approaches the present it becomes increasingly agitated and punctuated by conversation-enders: "Painting has never recovered from the birth of Pop".
Abort any spiritual conversation if it gets too agitated, especially if tempers are on the rise.
Wading into the conversations about the #MeToo movement, an agitated Trump acknowledged that past accusations of sexual misconduct against him have influenced the way he views similar charges against other men, including his Supreme Court nominee.
At the end of my conversation with the polygamist, he became quite agitated.
Our voices weren't raised, but the conversation was, I would say, very intense and agitated.
