The veteran batter was ruled out of this month's ODI series against Afghanistan because of an injury picked up while playing for Royal Challengers Bengaluru in a victory over Gujarat Titans in the Indian Premier League (IPL) final in May, where Bengaluru secured a second consecutive IPL title.
India will play three ODIs in England on July 14, 16 and 19 at Edgbaston, Sophia Gardens and Lord's respectively.
Yashasvi Jaiswal, who replaced Kohli against Afghanistan, was not included in the squad for the England tour despite scoring a century in the third ODI against the Afghans on Saturday.
Bowler Harshit Rana also returns after a lengthy layoff caused by a knee injury, which ruled him out of the Twenty20 World Cup and the IPL.
Rana was a part of the squad in the third ODI against Afghanistan, but did not make the final playing XI.
Squad
Shubman Gill (captain), Rohit Sharma, Virat Kohli, Shreyas Iyer, KL Rahul, Ishan Kishan, Washington Sundar, Axar Patel, Nitish Kumar Reddy, Kuldeep Yadav, Jasprit Bumrah, Prasidh Krishna, Harshit Rana, Arshdeep Singh, Gurnoor Brar.