Brown is the 19-year-old daughter of recording stars Whitney Houston and Bobby Brown.
Perry gave a moving tribute at Houston's funeral in her native New Jersey last month. Houston drowned Feb. 11 in a hotel bathtub in Beverly Hills, Calif., after using cocaine. She was 48.
People.com said no details about Brown's "For Better or Worse" role were available.
The show's second season is in production. The new episodes will premiere in July on TBS.
Notable deaths of 2014 [PHOTOS]
Alanis Morisette debuts new blonde hair