Garneau announced Monday via his personal Twitter account that he will retire from professional baseball.
The Tigers outrighted Garneau to Triple-A Toledo on Wednesday.
Garneau was designated for assignment by the Tigers on Monday, Evan Woodbery of MLive.com reports.
Garneau is starting at catcher and batting eighth in Saturday's game against the Royals.
Garneau and the Tigers agreed Tuesday on a one-year, $1.175 million contract to avoid arbitration, Evan Petzold of the Detroit Free Press reports.
Detroit manager A.J. Hinch could elect to keep three catchers on the roster, which would help Garneau carve out a role with the club, Evan Woodbery of MLive.com reports.
Garneau is out of the lineup for Tuesday's game against the White Sox.
Garneau went 1-for-4 with a solo home run in Sunday's win over the Brewers.
Garneau is starting at catcher and batting eighth in Sunday's game against the Rays.
Garneau went 1-for-2 with a home run and two RBI in Wednesday's 4-1 win over Milwaukee.