Coach Lloyd Carr said Hart, who finished fifth in the Heisman Trophy voting last season, had "a minor arthroscopic procedure.
"He'll be fine," Carr said Wednesday.
Arrington, tight end Carson Butler and defensive end Eugene Germany will not be with the team during spring drills, which begin Saturday and end April 14.
"They're not practicing, and they're not injured," Carr said.
Will the trio be back on the team in August, if Carr's requirements are met?
"That is possible," he said. "Maybe not probable."
Arrington was cleared of a misdemeanor domestic violence charge shortly after the season, following a charge stemming from an Oct. 13 incident.
According to a police report, his girlfriend said she picked up Arrington from a bar after she finished work and they got into an argument. Arrington grabbed his girlfriend's keys and pushed her out of the vehicle and drove off, the report said.
The report said she did not want to press charges and was concerned about Arrington driving only because he had been drinking.
Arrington had 40 catches for 544 yards and eight touchdowns last season, playing in every game. Butler made 19 catches for 166 yards and a score. Germany had three tackles in eight games.