"I admire every soldier. Despite the pain, I must keep telling my story - so you know why we are here today. You are our true victory," said Sarah Weinstein.
Prime Minister Benjamin Netanyahu also instructed the IDF and Fire and Rescue Brigades to prepare reserves from Greece and other countries abroad.
The IDF currently controls about 30% of the Gaza Strip as the military continues to establish the Morag Corridor in the southern Gaza Strip.
The announcement was made as an attempt to pressure Prime Minister Benjamin Netanyahu to advance with a new bill to regulate haredi IDF service.
The letter by reservists stated that while the draft law has been debated a number of times, they said that they did not see any progress on the matter.
Only one terrorist was killed in the defense of the town, though dozens of Palestinian invaders were killed in the environs nearby the town.
Israel begins commemoration for Holocaust Remembrance Day • Jordan outlaws Muslim Brotherhood
The IDF said that the missile had likely been successfully intercepted.
The generals also met and held a discussion with Holocaust survivor, Lea Balint, and presented her with a certificate.
The political leadership - including the prime minister, defense minister, and chief of staff - prefers to exhaust efforts toward a hostage deal.