"There's more people here than there are in our whole country," Perenara told the United States' ESPN.
The city's streets were left covered in red, white and blue confetti that was shot from cannons along the parade route.
Barrett took pictures and Perenara used Savea's strong shoulders to lift himself up for the perfect view.
Teammate Waisake Naholo followed Perenara's suit, testing the strength of prop Owen Franks.
Savea told ESPN the Cubs hype was "a little bit strange for us".
"On Wednesday night all the horns were going off. And before, everyone was saying that, win or lose, this town was going to go off. They were right.
"I would have loved to have been at Wrigley Field. It's cool to be part of the parade now, though. You only see this sort of stuff on TV, and you don't get to see it close up. It's something special."
Coach Steve Hansen told ESPN the Cubs' fans expectations were similar to those of the All Blacks fans.
"Being involved in a high-profile team, you are expected to win all the time," he said.
"You can feel the emotion and sometimes you win and sometimes you lose, but the emotion's always the same. It takes you to places you don't normally go."
The five million crowd more than doubled the number at a similar event in 2015 when the National Hockey League's Chicago Blackhawks won their third Stanley Cup in six years.
- NZ Herald and AAP