Soriano had an MRI after experiencing discomfort in his pitching elbow and shoulder, and the results came back clean, per MLB.com.
Soriano (arm) was transferred to the 60-day injured list Saturday.
Angels general manager Perry Minasian said last weekend that the the team hasn't yet decided if Soriano will be shut down from pitching this season, per MLB.com.
The Angels placed Soriano on the injured list Saturday due to right arm fatigue, Erica Weston of Bally Sports West reports.
Soriano did not factor into the decision in a win over the Mets on Saturday, allowing five hits and two walks over six shutout innings. He struck out six.
Soriano allowed six runs (three earned) on five hits and two walks while striking out two batters over 2.2 innings in a no-decision against Oakland on Sunday.
Soriano (6-7) got the win over the Mariners on Tuesday, allowing one run on three hits and three walks while striking out five over 7.2 innings.
Soriano (4-7) allowed three runs on six hits and a walk while striking out three over five innings to take the loss Sunday versus the Cubs.
The Angels reinstated Soriano (abdomen) from the 15-day injured list Tuesday.
Soriano (abdomen) is expected to start one of the Angels' contests in Oakland during a three-game series that begins July 2, per MLB.com.