Cashman spoke Saturday before the Yankees played at Boston. On Friday night, Rodriguez hit No. 660, tying Willie Mays for fourth on the all-time list.
"We have the right, but not the obligation to do something, and that's it," Cashman said. "So there is no dispute, from our perspective."
The Yankees and Rodriguez have a marketing agreement that calls for $6 million each for up to five achievements, payable within 15 days of designation by the team. The accomplishments were contemplated to be home runs as he moved up the all-time list.
Rodriguez sat out last season because of a drug suspension and the Yankees didn't market his pursuit of Mays' mark.