The Giancarlo Stanton saga took some more twists and turns on Thursday, including talk the Marlins slugger could be interested in coming to the Yankees.

Stanton has cooled on the Giants and Cardinals, according to The Athletic’s Ken Rosenthal. But the report also said Stanton could be swayed to change his mind if the Giants land “Japan’s Babe Ruth,” Shohei Ohtani.

According to an SFGate.com report, Rosenthal said the Dodgers and Yankees are on Stanton’s list of preferred teams, though Rosenthal also stressed on his Twitter account that the situation remains “fluid.”

Sirius XM’s Craig Mish also tweeted the Yankees are one of four teams on Stanton’s approval list.

His Sirius XM colleague, Jim Bowden, a former general manager, tweeted the Yankees and Dodgers were on Stanton’s list.

Earlier, the Marlins’ latest payroll purge began not with Stanton, but with Dee Gordon.

The two-time All-Star second baseman was traded Thursday to the Mariners — along with $1 million in international signing bonus pool allotment — for three prospects in the first big deal involving new Marlins CEO Derek Jeter. He wants to cut payroll by more than 20 percent to $90 million or less, which is why NL MVP Stanton is also on the trading block.

Miami acquired right-hander Nick Neidert, the Mariners’ No. 2 prospect, along with infielder Chris Torres and right-hander Robert Dugger. The Marlins haven’t been to the playoffs since 2003, and they’re anxious to bolster a farm system that ranks among baseball’s worst.

“We need to add depth,” president of baseball operations Michael Hill said. “We need to do things to give us an opportunity to build an organization that we feel can win consistently. In this deal we took an All-Star caliber player in Dee Gordon, and were able to add three very talented pieces to our minor league system.”

The international signing bonus pool allotment the Mariners received in the Gordon deal boosted the amount they can offer Ohtani to a major league-high $3,557,500, just ahead of the Rangers ($3,535,000). They assume Gordon’s contract, which guarantees him $38 million through 2020.

This is the Marlins’ fourth dismantling since 1998 under three owners. They had a franchise-record payroll of $116 million last season but lost 85 games and lots of money while finishing last in the National League in attendance for the 12th time in 13 years.

Jeter has warned of unpopular decisions this offseason, and with fans anticipating them, he drew boos at a Miami Heat game this week.