I think this is the source article:
In response to the launches into Israel, the IDF attacked Syria and the Gaza Strip. Throughout the day, heavy barrages were fired at the south, Gush Dan, northern Sharon and Jerusalem. 900 were murdered and 2,800 wounded since the beginning of the war. A security source told Channel 13 News: "The ground maneuver will surprise Hamas, Gaza will become a tent city." The US President in a historic statement: "Assistance to Israel, including the Iron Dome interceptors, is on the way. We'll make sure the inventory doesn't run out."
It seems to indicate a singular, anonymous source.
And even less specific than 'IDF' that was being said in other sources.
https://twitter.com/alonbd - last tweet is Oct 9.
This is Channel 13's second reference, same article:
Israel at war: Israeli security forces entered the fourth day of an iron sword war on Wednesday, during which heavy barrages were fired from Gaza towards central and southern Israel. From Lebanon, a barrage was fired at communities near the northern border, and the IDF responded with artillery fire. In the envelope area, IDF fighters continued to encounter terrorists, and in the evening three terrorists were neutralized in Ashkelon. At noon, the IDF Spokesperson announced that two senior members of Hamas' political bureau in the Gaza Strip had been assassinated. Meanwhile, a security source told Channel 13 News that the IDF's ground maneuver in Gaza would surprise Hamas, and threatened: "Gaza will become a tent city."
22:00 P.M. – A security source told Alon Ben David: "Gaza will eventually become a tent city. There will be no buildings. The ground maneuver will surprise Hamas."
Hard to find other more specific references of air time beyond this.