Indeed Root tipped England's record wicket-taker to be a "massive part" of the team for "the next few years".
Jennings was the first to go, but in an odd manner.
Ravichandran Ashwin (1/33) had a loud lbw shout against Malan which was turned down as India lost a review.
Malan, who survived an lbw appeal from Ashwin, was then leg before to Shami as he played back. It was in response to Root's celebration after he guided England to a 2-1 ODI series win against India in July.
Joe Root (80 runs off 156 balls, 9x4s) scored an unbeaten 41st Test half-century, but the English innings completely got derailed after his dismissal.
Root, meanwhile, dropped anchor and ate up a lot more deliveries against the Indian pacers. His strike-rate dropped below 50, even as he completed his half-century off 107 balls.
Root also became the quickest batsman to 6,000 Test runs in terms of time from his debut when he reached the landmark.
Earlier, England consolidated their position despite losing Cook early, reaching 83 for one at lunch after opting to bat. Ashwin justified selection to face a team with seven left-handers, cleaning up Alastair Cook (13) with a stunning off-break in the ninth over of the day.
Although captain Kohli said he was happy to lose the toss, his side were poor with the new ball, their wastefulness compounded when Ajinkya Rahane dropped Jennings at fourth slip when the opener had only nine.
The "mic drop", an act more commonly used by rappers or comedians to signal the end of a statement so definitive it can not be followed, has been popularised by many famous figures over the years and Kohli clearly had not forgotten. Alastair Cook was bowled by a attractive off-break that clipped the top of off stump and impressive pace bowler Mohammed Shami removed both Jennings and Dawid Malan. Ben Stokes makes the playing XI as well but is due to miss the second Test at Lord's as his trial over Bristol nightclub incident begins on Monday (6th August), a day after the first match is scheduled to get over.
India also went in with just the lone spinner in Ashwin, supporting a three-pronged pace attack.