Gerber was promoted to Triple-A Scranton/Wilkes-Barre on Saturday, Conor Foley of YES Network reports.
Gerber signed a minor-league contract with the Yankees on Monday.
The Mariners released Gerber (forearm) on Wednesday.
Gerber (forearm) was designated for assignment Saturday.
Gerber (forearm) began a rehab assignment with the Mariners' rookie-level Arizona Complex League affiliate over the weekend and gave up an unearned run on two hits over one inning in his first appearance Saturday.
The Mariners said Thursday that Gerber has been shut down with a mild forearm strain, Ryan Divish of The Seattle Times reports.
The Mariners optioned Gerber (back) to Triple-A Tacoma on Tuesday.
Gerber recently had surgery for a back issue, Ryan Divish of The Seattle Times reports.
Gerber was optioned to the Mariners' alternate training site Saturday.