Root, who suggested on the third evening that Gabriel "might regret" his choice of words, did not want to shed further light on the incident after England's 232-run victory but was more than happy with his own part.
Chase celebrated his fifth Test century and saw out the over on 102 not out off 191 balls.
Shai Hope fell for 14.
At the start of the day England's batsmen collapsed to the West Indian fast bowlers yet again, this time operating effectively with the second new ball, as the visitors lost six wickets for 45 runs to be dismissed just before lunch.
"I've had some frightful dark days with injuries and things like confidence and self-belief", Wood said. "We've got a great squad and there's plenty more cricket to go".
It has been a game too far for West Indies.
Keemo Paul (9) and Dowrich (38) managed to take the hosts into three figures, though the former would perish when stumped off Moeen.
Jennifer Lopez Defends Grammys Motown Tribute: "I’m Just Very Humbled"
Lopez joined the Motown legend and singer Ne-Yo for an energetic tribute to the label founded by Berry Gordy in Detroit in 1959. Huffington Post editor Phillip Lewis posted, "I'll never understand why they didn't choose someone Black for a MOTOWN tribute".
Campbell's opening partner, Kraigg Brathwaite, offered little resistance himself when he prodded indecisively at a full-length delivery and Stokes held the catch at second slip.
Stokes moved on to 79 - his best Test score since he was involved in an incident outside a Bristol nightclub in 2017 that resulted in a suspension - but when his mistimed hook off Kemar Roach was brilliantly taken by a diving Shane Dowrich, England unravelled.
Root had earlier fallen for 122 after resuming the day on 111, as England picked up from their overnight 325 for four.
They belted 36 runs at a run-a-minute until the skipper miscued a low full-toss from Gabriel and Hetmyer held the catch diving forward at midwicket to prompt the declaration.
The five-match one-day global series starts next week.
"All the hard work has paid off", he said in reflecting on his performances over the three Tests.
West Indies assistant coach Vasbert Drakes said Friday that "the sky's the limit" for his young team as they look to complete a 3-0 sweep of the Test series against England.