It is expected that at least two of them, Cano and Kuroda, will reject the $14.1 million one-year offers, but Granderson, who appeared in just 61 games last season after suffering two broken hands, could accept it to play one more year in a ballpark in which he hit 47 of his Major League Baseball-leading 84 home runs in the 2011 and 2012 seasons.
Extending the qualifying offer assures a team of a compensatory pick in next year's first-year player draft in the event one of its free agents rejects the offer to sign with another team. Players receiving qualifying offers have until Nov. 12 to decide whether to accept them.
Cano, the Yankees' best all-around player and the cream of this winter's free-agent crop, is expected to test the market and has reportedly put out feelers for a 10-year, $300 million contract.
Kuroda, 38, earned $15 million in 2012, when he went 11-13 with a 3.31 ERA, the lowest in the starting rotation.
Granderson, however, may believe his injury-shortened season will adversely affect his value -- he was paid $15 million on a club option last season -- and could decide to return to the Yankees for one more season.
The value of the qualifying offer is based on an average of the 125 most lucrative major league contracts from the previous season as mutually agreed on by the MLB and the players' association. This year's total of $14.1 million is $800,000 higher than last year's.