Kaut has signed a one-year contract with HC Dynamo Pardubice of the Czech League, Josh Frojelin of San Jose Hockey Now reports.
Kaut was sent to AHL San Jose on Friday.
Kaut was recalled from AHL San Jose on Saturday.
Kaut scored a goal on three shots and added two hits in Thursday's 6-2 loss to the Predators.
Kaut was brought up from AHL San Jose on Monday, Curtis Pashelka of The San Jose Mercury News reports.
Kaut and Jacob MacDonald were acquired by San Jose from Colorado in exchange for Matt Nieto and Ryan Merkley on Wednesday.
Kaut was sent down to AHL Colorado on Saturday.
Kaut (upper body) will play Monday versus the Golden Knights, Ryan Boulding of NHL.com reports.
Kaut is considered week-to-week with an upper-body injury, Marc Moser of Altitude Sports 950 reports.
Kaut left Friday's game against Nashville with an upper-body injury, Katie Gaus of AltitudeTV reports.