Parmelee smacked a solo home run in his only at-bat during Monday's 3-1 Cactus League loss to the Reds.
Parmelee signed a minor league contract with the A's on Wednesday that includes an invite to spring training, Jane Lee of MLB.com reports.
Parmelee was placed on the 7-day DL on Thursday after experiencing back spasms, the Scranton Times-Tribune reports.
Parmelee (hamstring) was reinstated from the 15-day disabled list Saturday and outrighted to Triple-A.
Parmelee (hamstring) began a rehab assignment with Triple-A Scranton/Wilkes-Barre last week, the Wilkes-Barre Times Leader reports.
Parmelee (hamstring) didn't return to the team before the All-Star break.
Parmelee said he hasn't felt any pain in his injured hamstring in about a week, and is working out on a treadmill, Erik Boland of Newsday Sports reports.
Parmelee will miss at least a month with a Grade 2 hamstring strain, Jared Diamond of the Wall Street Journal reports.
Parmelee was placed on the 15-day DL with a right hamstring strain.
Parmelee (hamstring) will go in for an MRI and manager Joe Girardi announced that he would be "shocked" if the first baseman didn't require a stint on the disabled list, Erik Boland of Newsday reports.