Kratz doesn't intend to play during the 2021 season, Robert Murray of FanSided.com reports.
Kratz will not be on the roster for the ALDS against the Rays.
Kratz started behind the plate in Game 2 of Friday's doubleheader against the Orioles and went 2-for-3 with a pair of RBI.
Kratz could be designated for assignment by the Yankees when No. 2 backstop Kyle Higashioka returns from the injured list, Brendan Kuty of NJ Advance Media reports.
Kratz's contract was selected by the Yankees on Saturday.
Kratz was reassigned to the Yankees' alternate training site Tuesday.
Kratz has been named to the Yankees' 60-man roster.
Kratz re-signed with the Yankees on a minor-league deal Friday, Jon Heyman of MLB Network reports.
Kratz signed a minor-league contract with the Yankees on Saturday, Erik Boland of Newsday reports.
Kratz cleared waivers and was released by the Rays on Thursday, Marc Topkin of the Tampa Bay Times reports.