The Marlins declined Suzuki's $2 million club option, making him a free agent. Suzuki gets a $500,000 buyout.
Jeter, whose ownership group took over a month ago, played with Suzuki when both were members of the New York Yankees. The Marlins are expected to cut their payroll by one-third, to about $90 million, and parting with Suzuki is just the start of an anticipated purge.
The 44-year-old Japanese outfielder has said he wants to play until he's 50, but it's unclear whether another team will sign him. While he could return to the Marlins at a lower salary, their tweet Friday made that sound unlikely.
"It's been an honor watching you play. Thanks, #Ichiro!" the Marlins tweeted.
"See you in Cooperstown," former Marlins president David Samson tweeted.
Suzuki is a member of the prestigious 3,000-hit club, with 3,080, but he started only 22 games this year and had 196 at-bats, the lowest total of his 17-year career. He set a big-league mark with 109 plate appearances as a pinch hitter and had a franchise record 27 pinch hits.
Suzuki was batting .202 on July 4 but hit .315 the rest of the way to finish at .255. He became just the sixth player 43 or older to record at least 50 hits.