Boudreau is the second fastest to 500 wins in League history (836 games) behind Scotty Bowman (825), according to the Elias Sports Bureau.
"I didn't want anybody to make any fuss about any of that," Boudreau said. "We're in too tight of a Stanley Cup] Playoff race. ... Right now, let's focus on the game and the team."
***[WATCH: [All Predators vs. Wild highlights]*
Joel Eriksson Ek, Nino Niederreiter, Jason Zucker and Zach Parise scored for the Wild, who have won three of five games (3-1-1) and are 11-4-1 in the past 16.
Minnesota (42-24-8), which limited Nashville to 20 shots on goal, leads the Colorado Avalanche by two points and the St. Louis Blues by three for third in the division. The Wild have played one fewer game than the Avalanche and Blues.
Ryan Johansen scored for the Predators, who have lost two in a row after a 15-game point streak.
Nashville (48-16-10), which lost in regulation on the road for the first time in 16 games (12-1-3), is six points ahead of the Winnipeg Jets for first in the Central and tied with the Tampa Bay Lightning atop the League standings.
"Our first period I thought was solid," Johansen said. "I didn't think it was amazing or anything, but we did a lot of good things. Then we just got away from it. I'm sure we'll look at it in the morning, but this is the NHL, you've got to play 60 minutes to win hockey games."