Bour signed a contract to play for the Hanshin Tigers in Japan on Thursday, Jordan McPherson of the Miami Herald reports.
Bour elected free agency rather than accept an outright assignment to Triple-A Salt Lake on Monday.
The Angels recalled Bour from Triple-A Salt Lake ahead of Sunday's 11-3 loss to the Red Sox. He struck out as a pinch hitter in his lone plate appearance.
Bour was optioned to Triple-A Salt Lake on Wednesday.
Bour is out of the lineup for Sunday's game against the Astros, Rhett Bollinger of MLB.com reports.
Bour went 1-for-4 with a solo homer as the Angels defeated the Rays 5-3 Saturday.
Bour went 1-for-4 with a three-run home run in a win over the Dodgers on Tuesday.
Bour was recalled from Triple-A Salt Lake by the Angels on Tuesday.
Bour was optioned to Triple-A Salt Lake after Tuesday's loss to the Twins, Fabian Ardaya of The Athletic reports.
Bour is out of the lineup for Thursday's game against the Tigers.