The Islamic State has claimed responsibility for Thursday's attack in a post on its Telegram account.
He had been in an extended period of almost three years of administrative detention regarding his ISIS connection until his mid-March release.
"These acts showed the world there is a difference between those who fight and die for god and those who fight for empty political slogans."
Six Israelis have been killed in less than a week. How did Israel’s security establishment miss these two attacks?
Abu Ibrahim Al-hashemi Al-Quraishi died in a US special forces raid in northern Syria in February when he detonated a bomb that killed him and family members.
It suits the world to leave the Kurds running the camps and acting as prison guards.
The next leader of ISIS is likely to be chosen from a group of battle-hardened Iraqi jihadists.
The proximity of the two safehouses where the ISIS leaders lived with their families to the Turkish border and the Bab al-Hawa crossing suggests the presence of an ISIS haven near the border.
Qurayshi presided over a much diminished force, a shadow of the group that at its height in 2015 presided over a swath of territory the size of Britain.