Glatch beat Pennetta 6-1, 6-1 in their only previous meeting in the first round of this year's French Open.
Italy's No. 2 player, Francesca Schiavone, will face US Open quarterfinalist Melanie Oudin in the second singles Saturday on the clay courts at the Rocco Polimeni club.
Reverse singles are set for Sunday, plus a possible decisive doubles match featuring Sara Errani and Roberta Vinci for Italy against Liezel Huber and Vania King of the United States.
The draw for the best-of-five series was held on Friday.