"They can do whatever they want," Soriano said Friday at the Cubs Convention. "It has to be good for me and my family for me to agree [to a trade]. I'm comfortable with the Cubs.
"I won't go to just any team. I want to be with a contender. I also want to be in the playoffs again. So I'd have to be comfortable with both the team and the city I get traded to."
As the Cubs continue to work to rebuild the team, Soriano has heard his name mentioned in trade rumors as he's relaxed with his family in the Dominican Republic this offseason.
The Cubs owe Soriano $54 million over the next three years and he has control of his fate with 10-and-5 no trade rights. The Cubs have talked to upwards of eight teams, most of which are in the American League, about Soriano, according to major league sources.
"I'm not really concerned about it," Soriano said. "I've been traded two or three times before and I know that's a part of the game."
Soriano, a 36-year-old outfielder, said he wasn't sure if he'd enjoy being a designated hitter if he ever returns to the American League, where he played previously with the New York Yankees and Texas Rangers.
"They tell me the DH saves your legs," Soriano said. "But I don't know. I've never done it very much. Really, it all depends what they want to do. I love it here in Chicago."
Soriano had his best run-production season as a Cub in 2011, posting 26 home runs and 88 RBIs.
Bruce Levine covers the Cubs for ESPNChicago.com and ESPN 1000.