The margin of victory - by a massive 180 runs with just under 20 overs to spare - was as emphatic as it was surprising for a team who tested the skin on their teeth and the seats of their trousers to the limits to get over the line.
Kohli also said he backed his boys to chase in the title clash.
Pakistan came into the competition as the lowest-ranked one-day worldwide nation and their status as outsiders appeared justified when they were thumped by 124 runs by their arch-rivals at Edgbaston earlier this month.
For India, pacers Bhuvneshwar Kumar, Hardik Pandya and spinner Kedar Jadhav took one wicket each. Having lost the three cheaply, the Indians quickly slipped to 54-5 and even though the big-hitting Hardik Pandya tried to lift them with a 43-ball 76, it was only a matter of time before the innings caved in.
Despite the heavy loss, Kohli had a smile on his face.
As it turned out, Pakistan had far too many for them.
"When players like that get going on their day, it becomes really hard to stop them because I think 80 per cent of his shots were high-risk - and they were all coming off", added Kohli.
India were first rocked by Fakhar, who became ever more convincing after escaping a run-out chance on one and then being caught-behind off a no-ball on three.
0 opening partnerships of 100 or above for Pakistan in an ICC tournament final before today. Sometimes, the opposition does play very well.
It was the complete opposite for India however, as they started out as one of the tournament favourites, and went on to script a few very convincing wins on their way to the final, where the finally lost the plot.
Left-arm fast bowler Mohammad Amir's three-wicket burst reminded him of his own playing days, Akram said, adding: "So proud". The way we showed character, this is for the nation.
"Then we kept losing wickets". It was not long after he was run out that last man Jasprit Bumrah flapped at Hasan - and the Pakistan celebrations begun.
"It has been an up and down ride".
Earlier, India opted to bowl first on a wicket that seemed full of runs. We knew we were prepared well.
Sarfraz paid tribute to the influence of a coaching staff led by Mickey Arthur, who took charge shortly before Pakistan s tour of England past year, where a Test series was shared but the ODI campaign lost 4-1.
Fakhar Zaman was the beneficiary of the Indian largesse and he ensured the Indian team paid the price for it, as much as for their wayward bowling. "It has been a remarkable achievement", said Arthur.
"Amir was the guy that could do that for us", said Arthur. We've got a group of young players who are fantastic. The hype around this game was also magnified by a paucity of matches between the two teams in the past 10 years, a result of political tensions. "So let's hope that this really kick-starts that momentum in Pakistan again". "We have to identify the players we want to take forward", he added.
However, the International Cricket Council are set to send a World XI to Pakistan in September.
"Credit goes to the team management".
"This win will be remembered not just today or tomorrow but for a long, long time". Unfortunately for team India, the move didn't pay off and they sure missed the absence of an Umesh Yadav or a Mohammad Shami. "Hopefully, all countries will now visit Pakistan", he said.
"It is an unbelievable feeling which I can't describe at the moment though".
Congratulations to Pakistan and their fans.
"We have had youngsters benefitting from PSL".
Sarfraz will pleased with the performances of the likes of Fakhar Zaman and Hasan Ali, who despite a lack of experience delivered on the big stage. From there on, the Pakistani bowlers cleaned up the tail and eventually won the match. We don t get the home advantage like other teams. The protesters also raised slogans against the players and team India.
It was his day and as if he wanted to make a statement in his own style. It sounded endearing as it was a honest appeal from him.
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