De Villiers broke down after the defeat along with teammate Morne Morkel but the South African captain said he has no regrets as they have played their heart out in the tournament.
"It was an amazing game of cricket. Probably the most electric crowd I have ever heard in my life. I guess the best team has come out on top. We gave it our best. No regrets. We left it all out there. It is hurting. It is going to take a while to recover. Worst of all is we don't play for ourselves," De Villiers said.
"The bigger picture is for the people back home. We play for them. I hope they can still be proud of us. There have been great performances. I felt we had a wonderful thing going," he said.
Man-of-the-match Elliott, who showed nerves of steel as to guide his side to a memorable win, dedicated the victory to his countrymen.
"It's great. I don't think this win is for myself or the team, but everyone here. The supporters have been amazing. We wanted to take it as deep as we could," he said.
Talking about his 103-run partnership with Corey Anderson (58), Elliot said, "I think we timed the pace of the innings to perfection. Not as calm as I looked. When you have 45000 fans screaming at you every ball... It has been an absolute pleasure playing in front of this crowd. We have had a good run."
Elliot, who finished the match a six off Dale Steyn, said they would approach the title clash like a normal game.
"It is the first final we have been in as New Zealand. We are a very level team, we will approach it as any other game."
Asked what he was thinking before the winning shot, Elliot said, "Nothing going in my mind when I hit the six. I don't even know where the ball went."