A person in any field is judged by his or her performance in the field in which he or she is working. Virat Kohli is one of the best batsman in the world at present. He is a right-handed batsman and captained India under 19 to victory at the 2008.  Under-19 world cup in Malaysia he made his ODI debut for India against Sri Lanka in the year 2008, made his test debut in the year 2011 against West Indies and made T-20 international debut in the year 2010 vs Zimbabwe. The up to date performance in all the formats of cricket is as below

Test matches 59              Runs 4616           Average 49.63       Centuries 17            Half centuries 14

ODI matches 202            Runs 9030           Average 55.70       Centuries 32            Half centuries 45

T2o matches 55                Runs 1,956         Average 52.86        Centuries 0              Half centuries 18

The above performance shows that his ability as a batsman. He captained India in all formats of cricket and became captain in the test matches in the year 2014, in ODI and T-20 matches in the year 2017.

The performance of Virat Kohli as a captain of Indian cricket team in all formats of cricket

Matches as captain                       Played                     Won                 Lost                  draw

Test                                                    29                             19                     3                        7

ODI matches                                     43                             33                      9                      1 (no result)

T-20 matches                                    10                              6                        4                       –

The above performance shows the ability of Virat Kohli as a captain of Indian team in each format of cricket.

So I think that Virat Kohli would succeed as captain in every format of cricket in future also