Boudreau said he understood Zucker's intent was to point the blame at the team as a whole and not specifically call him out.
"He could have gone through, the whole organization has to be better," Boudreau said.
The Wild have been outscored 29-14 and have allowed two goals in less than two minutes in each of their six losses.
"I think it's just being a little more detailed with everything," Zucker said. "We just have to bear down a little bit more and make sure that every little thing we do we're doing with 100 percent urgency and making sure that we're on top of everything.
"That doesn't mean gripping your stick tighter or making a 100 mph pass from 5 feet. It just means putting it on the tape from 5 feet and putting guys in the right positions to make plays and being in the right spots so that when defensemen have the puck and forwards have the puck, they have an outlet to make a pass."
Minnesota will try to get back on track when it hosts Montreal in a rematch at Xcel Energy Center on Sunday (5 p.m. ET; ESPN+, FS-N, FS-WI, TSN2, RDS, NHL.TV).
"If we get out of [this slump], it will make us a better team and better people," Boudreau said. "Only the strong survive, so I mean, you can sit there and whine and mope and talk behind people's backs, 'Well it's his fault, that fault.' But in the end you look upon yourself and take the onus upon yourself, and good people find ways to make other people better and get out of these types of things."