Zych is part of the Yankees' taxi squad for their current road trip, Meredith Marakovits of YES Network reports.
Zych was reassigned to the Yankees' alternate training site Tuesday.
The Yankees announced Sunday that Zych was included in their 60-man roster pool.
Zych signed a minor league contract with an invitation to Major League spring training Wednesday.
Zych has been placed on waivers by the Mariners on Saturday, Greg Johns of MLB.com reports.
Zych (elbow) is starting spring training off slowly but without pain, Ryan Divish of The Seattle Times reports.
Zych (elbow) underwent a minor procedure in the offseason and will begin spring training a little behind schedule, Ryan Divish of The Seattle Times reports.
Manager Scott Servais said Zych (elbow) has been shut down from throwing, effectively ruling him out for the remainder of the regular season, Greg Johns of MLB.com reports.
Manager Scott Servais said Zych (elbow) didn't feel 100 percent during his bullpen session Wednesday and may not return before the end of the season, Bob Dutton of The Tacoma News Tribune reports.
Mariners manager Scott Servais said Tuesday that Zych (elbow) has resumed playing catch and could return before the end of the regular season, Josh Horton of MLB.com reports.