The Serbian's win over the 106th-ranked Parmentier on Thursday ended her four match losing streak, the longest stretch of matches she's lost since turning professional in 2003.
The 58th-ranked Ivanovic dropped out of the Top 50 rankings this week. The former No. 1 and 2008 French Open champion has struggled with injuries since winning that lone Grand Slam title.
She had 15 winners, 31 unforced errors and seven double-faults against Parmentier. Her opponent had six winners and 23 unforced errors.