Poile, who characterized the Predators salary-cap situation as "uncomfortable" before the Subban trade, said he will enter the eight days ahead of the start of free agency July 1 with an open mind.
"I want to see what this week brings, and we're going to explore some different things for sure," Poile said. "We're going to be talking to some people on free agency, but no promises, no commitment, no exact goals. We'll see what happens."
Pending unrestricted free agent forwards Wayne Simmonds, Zac Rinaldo and Cody McLeod likely will not be back with the Predators, said Poile, who did express interest in keeping forward Brian Boyle, another pending UFA.
"I don't know if that's going to work out," Poile said of Boyle, who came to Nashville in a trade with the Devils on Feb. 6. "Brian was very good for us. A great person. If I can find a way to bring him back … we have time for that."
With Subban gone, the Predators have $13.7 million in space available under the 2019-20 salary cap, which was set at $81.5 million Saturday. They have two pending restricted free agents in forward Colton Sissons, who scored 30 points (15 goals, 15 assists) this season, and forward Rocco Grimaldi, who had 13 points (five goals, eight assists).