The Angels selected Kingery's contract from Triple-A Salt Lake on Monday.
The Angels acquired Kingery from the Phillies on Friday in exchange for cash considerations.
Kingery (illness) went 0-for-3 with a run scored and a strikeout while seeing action at shortstop and second base in Grapefruit League games Friday and Saturday.
Kingery was scratched from the lineup for Sunday's Grapefruit League game against Atlanta due to an illness, Corey Seidman of NBC Sports Philadelphia reports.
The Phillies declined Kingery's $13 million club option for 2024 on Friday.
The Phillies reassigned Kingery to minor-league camp Monday.
Kingery has looked much better this spring and could earn a bench spot on the Phillies' Opening Day roster, Todd Zolecki of MLB.com reports.
Kingery was outrighted to Triple-A Lehigh Valley on Friday.
Kingery's contract was selected by the Phillies on Tuesday.
Kingery (shoulder) has gone 3-for-18 with a triple, three runs, two RBI and a stolen base in four games since debuting from Triple-A Lehigh Valley on Tuesday.