Marte signed a contract with the Hanshin Tigers of Nippon Professional Baseball in Japan on Thursday, The Japan Times reports.
Marte was outrighted from the Angels' 40-man roster Friday.
Marte went 1-for-3 with a walk, a home run and a pair of runs scored in Monday's extra-innings win over Texas.
Marte homered in his lone at-bat in Tuesday's loss to Arizona.
Marte will start at first base and bat eighth Sunday against the Mariners, Jeff Fletcher of The Orange County Register reports.
Marte started at first base Thursday, scoring a run after getting hit by a pitch in his lone at-bat in a win over Seattle.
Marte (wrist) was activated from the 10-day disabled list Thursday, Fabian Ardaya of The Athletic Los Angeles reports.
Marte (wrist) will begin a rehab assignment with High-A Inland Empire on Friday, Maria I. Guardado of MLB.com reports.
Marte was placed on the 10-day disabled list Tuesday with a left wrist sprain.
Marte left Tuesday's game against Seattle with a bruised left wrist, Jeff Miller of the Los Angeles Times reports.