Press Association reports Gabriel was spoken to by one of the on-field umpires about his language.
The fast-bowler was involved in a long-running verbal battle with Root throughout the day as the England man continued to frustrate his opponents.
Following the close of play, England's current skipper was asked to explain the tussle with Gabriel.
Hussain tweeted about the alleged sledging incident: "I don't know who said what to whom. but boy do I applaud Joe Root's reaction here".
"It's Test cricket. He's an emotional guy trying to do everything he can to win a Test match".
"I think it should stay on the field".
"The sky is the limit for this side as they continue to grow", said Drakes. "I think they can sometimes be caught in the moment and not always say what you want to say or think you're saying", the 28-year-old said.
"As a player you feel you have responsibilities to uphold on the field and I stand by what I did".
Former England cricketer Nasser Hussain said Root's reaction would help cement his legacy.
The West Indies should also have sent the third member of England's top three back cheaply but Joe Denly was badly dropped on 12, fending Shannon Gabriel to third slip off the shoulder of the bat only for Shimron Hetmyer to bungle the chance.
Root surprised when he chose to keep batting in the morning, moving from 111 to 122 in six overs when he hit a full toss from Shannon Gabriel to midwicket.
It remains to be seen whether there will any further consequences for Gabriel.
Root ended day three in St Lucia with 111 not out, with England on 325-4, taking their lead to 448 and are expected to declare on day four.
Mark Wood marked his return to the England Test team with a brilliant maiden fifer to give the visitors the lead in the final match of the series and earns Sunday's Turbo Bowler award, writes ANITHA MADIKIZELA.
Wood continued his carnage after tea when Darren Bravo (six) edged to first slip and wrapped up the innings by bowling No.11 Shannon Gabriel (four).