Suzuki's agent, Joel Wolfe, said he was told Monday by Cubs president of baseball operations Jed Hoyer which teams have expressed trade interest in his client, Jesse Rogers of ESPN.com reports.
Suzuki (ankle) went 2-for-2 with two walks and a run scored in Saturday's 3-0 win over the Reds.
Suzuki (ankle) will serve as the Cubs' designated hitter and bat fourth Saturday against the Reds.
Cubs manager Craig Counsell said Friday that Suzuki's right ankle is "much improved" and he's optimistic Suzuki will be back in the lineup Saturday, Maddie Lee of the Chicago Sun-Times reports.
Suzuki (ankle) remains out of the lineup for Friday's game against the Reds.
Suzuki isn't in the Cubs' lineup for Wednesday's game against the Phillies.
Suzuki isn't in the Cubs' lineup Saturday against Washington.
Suzuki went 3-for-5 with a double, an RBI and a run scored in Tuesday's win over the Dodgers.
Suzuki went 3-for-5 with two home runs, a triple, four RBI and three runs in Saturday's 14-2 win against the Marlins.
Suzuki went 2-for-4 with a walk, a double and a run scored in Friday's 6-3 win over the Marlins.