Hernandez was optioned outright to Triple-A Tacoma on Sunday.
Hernandez was designated for assignment by the Mariners on Thursday.
Hernandez was added to the Mariners' major-league roster Saturday.
The Mariners claimed Hernandez from waivers Friday.
The Rangers designated Hernandez for assignment Tuesday, Evan Grant of The Dallas Morning News reports.
The Rangers activated Hernandez (lat) from the 15-day injured list Monday.
Hernandez (lat) began a rehab assignment with Triple-A Round Rock on Tuesday.
Rangers manager Bruce Bochy said Monday that Hernandez (shoulder) will make his Cactus League debut Monday, but he unsure whether the reliever will have enough time to prep for Opening Day, Jeff Wilson of RangersToday.com reports.
Hernandez has been left off the Rangers' AL Wild Card Series roster due to a shoulder injury, Evan Grant of The Dallas Morning News reports.
Hernandez was recalled from Triple-A Round Rock on Wednesday, Jeff Wilson of RangersToday.com reports.