Strickland (3-2) took the loss against the White Sox on Tuesday, allowing three runs on two hits and one walk while retiring one batter.
Strickland earned a hold against the Rangers on Saturday, allowing one hit in a scoreless inning of work.
Strickland was charged with a blown save Thursday versus the Rockies after he allowed two runs on a hit and a walk during the ninth inning. He had one strikeout.
Strickland (2-1) earned the win in relief over San Diego on Monday, allowing one hit and one walk over 1.1 scoreless innings.
The Angels selected Strickland's contract from Triple-A Salt Lake on Monday.
The Angels reassigned Strickland to Triple-A Salt Lake on Thursday, Jeff Fletcher of The Orange County Register reports.
Strickland signed a minor-league contract with the Angels on Friday.
Strickland was released by the Reds on Tuesday, Charlie Goldsmith of The Cincinnati Enquirer reports.
Strickland re-signed Monday with the Reds on a minor-league contract, C. Trent Rosecrans of The Athletic reports.
Strickland was released by the Reds on Saturday.