The now-blocked channels had been used to share videos of kidnappings and killings of Israeli civilians and IDF forces.
A recent analysis says "only a small minority of the posts published on [Yair's social media] are those that can be defined as 'information' and not as political propaganda for internal purposes."
"Share with us if Hamas prevents you from moving south on the Telegram account at the attached number!" IDF Arabic language spokesman Lt. Col. Avichay Adraee said.
Telegram has served as one of the central platforms for Hamas to publish statements and propaganda.
The account was quickly returned to normal after the Shin Bet was charged with handling the situation.
"For those who are discussing whether I'm alive or not, how I'm doing - right now it's the weekend, second half of August 2023, I'm in Africa," Prigozhin says in the short video.
Eastern parts of the Kharkiv region are directly adjacent to the front line and Ukrainian forces have reported an increase in Russian attacks there in recent weeks.
Russia's Defense Ministry said that Ukraine had tried unsuccessfully to strike the Crimea Bridge with S-200 rockets, but that no damage or casualties had been caused.
Telegram is widely used in Iraq for messaging and as a source of news. Some channels contain large amounts of personal data including the names, addresses, and family ties of Iraqis.
The general said he raised the "mass death and injury" of Russian soldiers from Ukrainian artillery.