The goal, Tootoo's sixth of the season, started the scoring at 5:52 of the first period. Later, he assisted on Ryan Suter's fourth goal at 9:46 of the second, when Nashville built a 3-0 advantage.
The victory came after the Predators were sold Friday for $193 million.
Anaheim got goals from Shane Hindy (unassisted in the second) and Ryan Getzlaf (shorthanded in the third).
Goaltender Jonas Hiller was beaten four times on 33 shots for the Ducks, who had won two in a row.
On the power play, Anaheim went 0 for 4, and the Predators went 1 for 10.