"I think the opportunities that we took today are moves that are going to improve our team," Poile said. "I think we captured, in both players, a lot of things that we've been looking for. Both players play the power play. Both players have been effective on the power play for a long time."
Nashville is last in the NHL on the power play (12.3 percent).
Granlund has 18 power-play points this season (two goals, 16 assists) and 90 (20 goals, 70 assists) for his NHL career; Simmonds has eight (five goals, three assists) this season and 157 (94 goals, 63 assists) for his NHL career.
Neither Granlund nor Simmonds was in the lineup Monday, but Simmonds is expected to debut at the St. Louis Blues on Tuesday (8 p.m. ET; FS-MW, FS-TN, NHL.TV). Granlund's timetable for joining the Predators is unknown because he and his fiancée are about to have a child.
Simmonds played for Nashville coach Peter Laviolette in Philadelphia from the 2011-12 season until Laviolette was fired three games into 2013-14.
"That factored in," Poile said. "I mean you can't pay more than we thought we'd have to pay to make the deal, but [Laviolette] spoke very highly of him as a person in the room, what he does for his team, how he stands up for his teammates, how he can get the job done on the ice and how he can be a valuable contributor for our hockey club. It was a player that we had on our list right from the get-go, and the deal didn't happen until the very end. I can't exactly explain why that is because we had some conversations, but it was right at the end that it happened."