Wallach was optioned to Triple-A Salt Lake on Monday.
The 30-year-old joined the Angels while Max Stassi and Kurt Suzuki were on the COVID-19 injured list, but Wallach will head back to the minors now that Stassi and Suzuki are back to full health. Over 10 games in the majors, Wallach hit .156 with a homer, a double, four RBI and three runs.