Morgan said there were key things to learn from the game which the hosts would take into the three-match ODI series strating July 12.
He first returned figures of 4 for 38 and then came ahead of MS Dhoni and Suresh Raina to hit an unbeaten 33 off just 14 balls.
A three-match one-day series starts on Thursday at Trent Bridge, before the first of five Tests gets under way on 1 August.
"I'm sure he was bitterly disappointed to be left out because he wants to play every game for England and he wants to show he's a high-quality player in all forms of the game". India reached home with seven wickets and eight balls to spare.
A six brought up Roy's half-century from 23 balls - the joint second quickest for England in T20s - and the hosts looked set for a total in excess of 200. To add to India's woes, Bhuvneshwar Kumar had a stiff back.
India were cruising to victory but another fine catch from Jordan (1-40), this time off his own bowling, saw Kohli (43) on his way and gave England a glimmer of hope. Kohli and Rohit's partnership mixed patience and aggression, the two seeing off sole spinner Adil Rashid before hitting the pace bowlers to all sides of the ground.
Dhoni got to the 50-mark when he snaffled the risky Jason Roy caught behind off debutant Deepak Chahar's bowling.
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Put in, England posted 198/9 despite making a blistering start thanks to medium pacer Pandya's heroics with the ball.
India started well as Rohit Sharma shied with the bat right from the start, Dhawan, however, had to face an early exit. Just a ball after, Bairstow followed Stokes towards the pavilion.
Rohit shared an 89-run stand with Virat Kohli and accelerated in the final overs to put India in control.
Rohit Sharma also became the fifth global player to amass 2000 runs in T20I cricket. But the expected players failed to keep rocking in the ground.
Sportsmail revealed in May a year ago that England wanted Root to sit out Twenty20 matches so he could concentrate on leading the Test team out of their mid-table malaise and fulfil his own huge potential with the bat. He is a fantastic player in all forms of the game. At one point we thought they would get 225-230. "They kept up with the rate, and then it was a position in the 16th or 17th over they could take the game away from us which is disappointing". The character we showed is something we're very proud of.
"I think he probably will", he said. The guys produced the goods for us.
However, there was no stopping Rohit as India raced to 56/1 inside five overs but a brilliant catch by Chris Jordan, running from long-on and diving full length, brought an end to K.L. Rahul's (19; 10b; 1x4, 2x6) innings off a Ball delivery.