Pant, who is India's second choice keeper after Wriddhiman Saha, will feature in the Syed Mushtaq Ali Trophy.
Meanwhile, Andhra keeper-batsman KS Bharat will be Saha's understudy in the ongoing Day-Night Test between India and Bangladesh.
Bharat has featured regularly for India A in red ball matches.
He has finally got some consolation for his consistent performances during the last two seasons.
The talented keeper-batsman has scored 3,909 runs in 69 First-Class games with eight hundreds and 20 fifties which includes a triple hundred.
The 26-year-old has also done reasonably well in List A cricket as well.
"Rishabh will be playing all the six matches (3 T20s and 3 ODIs) against the West Indies. The selectors thought it's only prudent that he goes and plays in the Syed Mushtaq Ali Trophy for Delhi," a senior BCCI source told PTI.
Bharat told PTI he was asked to join the Indian cricket team.
"I got a call and was asked to join the team I'm reaching at 8.30 today. I am looking forward to share the dressing room with my idol Virat Bhai," said Bharat.
He get to spend a couple of days with the match expected to end inside three days in Kolkata.
Bangladesh were dismal in terms of batting and India posed plenty of troubles.
They were bowled out for 106 in just 30.3 overs.
Ishant dazzled with the pink ball and showed his prowess.
Notably, Indian pacers claimed all 10 wickets to continue their superb form.
Shadman Islam (29) was the top run-scorer.
In reply, Pujara and Kohli scored the runs for India.
This was a smart move by the BCCI selection committee. Pant will be playing the complete limited-overs series against West Indies next month and this will help him get some desired practice. He will be eyeing to score runs for Delhi.
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