The Phillies optioned Allard to Triple-A Lehigh Valley on Tuesday.
Allard signed a one-year, $1 million contract with the Phillies on Tuesday, Matt Gelb of The Athletic reports.
Atlanta placed Allard on the 60-day injured list Tuesday with left shoulder nerve inflammation.
Allard left Sunday's game against the White Sox with left shoulder tightness.
Allard left Sunday's game against the White Sox in the second inning after chatting briefly with a team trainer, David O'Brien of The Athletic reports.
Allard is scheduled to start Tuesday's game against the Guardians at Progressive Field.
Allard did not factor into the decision Wednesday, allowing three hits and one walk over 4.2 scoreless innings against the Twins. He struck out eight.
Allard (oblique) was activated from the 60-day injured list in advance of his start Wednesday against the Twins.
Allard (oblique) reported to Triple-A Gwinnett on Sunday to begin a rehab assignment.
Allard (oblique) was placed on the 60-day injured list Thursday, retroactive to March 27.