Kohli slammed an unbeaten 90 before a collective bowling effort gave India a resounding start in the Twenty20 series with a 37-run win over Australia in the first match of the three-game series.
"Virat doesn't seem to hit too many fielders, so it doesn't really matter where you put them," said Finch at the post match press conference.
"He is just in unbelievable form at the moment and the wickets are very good. The way he uses his hands, his feet, he is a pretty complete player. When you are looking to restrict his scoring, he can work it into the gaps and he runs hard, always putting pressure back on the bowler. That's what makes him such a great player."
"The wicket didn't change much and it might have spun slightly more. We probably didn't expect that but at the end of the day when you are probably chasing 9-10 an over against world-class spinners like R Ashwin and Ravindra Jadeja, it is always going to be tough. When you are ultra aggressive against them it favours them. There is always going to be a risk and tonight wasn't the night," he said.
The opener took the responsibility for his batting order's collapse, despite Australia getting off to a great start, stealing 34 runs off the first three overs.
"The run rate was up around 10-an-over like it was for most of the first 12-13 overs. So I felt that it was best to try and attack Ashwin and the other batsmen obviously thought the same. I wouldn't say it backfired. But I had allowed us to get too far behind the run-rate from the start.
"David Warner and Steve Smith were outstanding in their intent and they rotated strike too. I couldn't hit boundaries for a period there, so I take full responsibility for them getting out, as well as Travis Head," said Finch.