Cashman will meet with the Yankees' professional scouts starting Monday to formulate his offseason plan.
"We'd love to have Robby back," Cashman said. "He's been a great Yankee. I think if he stays he has a legitimate chance to experience what you just saw for instance a little bit from Mariano, where maybe he has a chance to be the first Dominican-born player to be in Monument Park."
Cashman also said it's unclear whether the Yankees will be able to get under next year's $189 million luxury tax threshold, which includes about $177 million for player salaries.
"It's not a mandate. It's a goal that we have if it's possible," Cashman said. "There's a lot of benefits to staying under that, but it's not a mandate if it's at the expense of a championship run. It just depends on what the opportunities are before us, and the costs associated with it."
He also plans to address the Yankees' lack of power this season. Injuries and the departures of Raul Ibanez, Nick Swisher, Russell Martin and Eric Chavez as free agents caused home runs to dropped from a team-record 245 last year to 144, the Yankees' fewest in a non-shortened season since they hit 130 in 1989. Not counting strike years, it was the largest falloff in baseball history, topping a decrease of 96 for the 1988 Chicago Cubs.
"We love guys with plate discipline and power from the offensive side. And that's been our history, and that's been our philosophy for a long time that's worked," he said. "We got derailed this year by decision-making as well as injuries. They're all my responsibility, and the best we could produce unfortunately was an 85-win team. That's not Yankee standards."