The final will be played at 9.30pm Sunday at Lords.
"It was a great semi-final over two days and I'm very pleased to be on the right side of it", Williamson had said earlier, while speaking in the post-match presentation.
Vettori, who guided New Zealand to the 2011 semi-finals, heaped praise on pace bowlers Trent Boult and Matt Henry after they dismissed India's top three of KL Rahul, Rohit Sharma and skipper Virat Kohli for one run each.
The cricketer-turned-commentator, who had called Jadeja a "bits and pieces player", had excluded him from his playing XI against the Kiwis for the semifinals, was trolled heavily on the social media. "To just go out on the basis of 45 minutes of bad cricket is saddening", Kohli told reporters.
"And in my watching Jadeja for 10 years, me playing with him as well, this is probably his top quality, like best knock according to me because the kind of pressure, the stage we are at, nearly out of the game and then he produces that".
New Zealand, beaten in the 2015 final by Australia, were restricted to just 239-8 after completing their 50 overs a day later than expected following the suspension of play due to rain yesterday. "But the way they bowled in that first half an hour was the difference in the game", he said.
"I think we are good enough to beat anyone".
The unexpected loss left a largely Indian-dominated crowd at Old Trafford disappointed, while a billion fans back home tried to come to terms with the heartbreaking end of the team's bid for a third World Cup crown.
"You finish number one in the table and then a spell of bad cricket and then you are out of the tournament completely".