Gelinas, 37, had 44 points (14-30) in 82 games with the Florida Panthers last season while earning $975,000. The native of Shawinigan, Que., has 640 career points (300-340) in 1,216 NHL games over 18 seasons with Edmonton, Quebec, Vancouver, Carolina, Calgary and Florida.
Despite Nashville's cost-cutting moves this off-season, which included trading star goalie Tomas Vokoun to Florida and winger Scott Hartnell and defenceman Kimmo Timonen to Philadelphia, Gelinas said he was comforted after speaking with Preds head coach Barry Trotz.
"I spoke with Barry and he was pretty excited about the young players on the team and the direction of the team so I was sold," Gelinas told The Canadian Press.
"My kids are really excited about going to Nashville."
Gelinas said he wasn't concerned by the Predators' potential sale and rumours that the team could move to Hamilton or Kansas City.
"We signed for one year," said Gelinas. "I'm concentrating on hockey. We'll see happens."
Gelinas, who captured the Stanley Cup with Edmonton in 1989-90, was chosen seventh overall by the Los Angeles Kings in the 1988 NHL entry draft and then traded to the Oilers in the package for Wayne Gretzky on Aug. 9, 1988.