The 40-year-old New York woman and her lawyer and husband, Anibal Apari, were seen arriving at the Lima apartment where she plans to live.
"I will not be making any statements at this time," Berenson told reporters.
Berenson was initially paroled in May, but then was returned to prison in mid-August on a technicality.
The same judge who first freed Berenson reinstated her parole Friday.
The former Massachusetts Institute of Technology student and leftist activist must remain in Peru, however, until her full sentence is served - unless President Alan Garcia decides to commute it.
Garcia has indicated he would not consider a decision until all of the legal issues in the case have been resolved, which means Berenson could be stuck in the South American nation for some time.
The prosecutor has said he would appeal Berenson's parole, and Apari said that could take two to three months to be resolved.