Game 2 is here Sunday (7:30 p.m. ET; NBCSN, SN, TVA Sports).
The Predators reached the postseason as the second wild card from the Western Conference, meaning they would start any and all of their series on the road.
Neal said he and his teammates haven't worried about their poor seeding status.
"I don't think we really have a choice," Neal said. "We know what type of team we have in our dressing room. We've built a team to try to win a Stanley Cup and we're continuing to get better in every series and every game, and Game 1 is a huge opportunity to take home-ice advantage back. That's what we're trying to do."
Predators left wing Filip Forsberg, who scored his fourth goal of the playoffs to tie the game 1-1 in the first period, said the victory against the Ducks was their best start in the three series.
"To be honest with you, the first games in the other series haven't been our best, but we found a way to win," Forsberg said. "That's what the playoffs are all about -- you have to find a way to win. And it's going to go up and down.
"But yeah … the way we played, it was better than the other Game 1s."
Nashville center Ryan Johansen, who had two assists in 22:32 of ice time, said rest might have been a factor in Game 1 against Anaheim. The Predators eliminated the Blues on Sunday, and the Ducks advanced past the Edmonton Oilers in Game 7 on Wednesday.
"That'll take a toll on you," Johansen said. "We're just focused on our game and how we need to play. We'll keep finding ways to get that done, which is huge. We'll take the win."