Daesh terror group members "pledged allegiance" to Abu Hasan al Hashemi al Qurashi, the group's spokesperson said in an audio recording.
Sami Jasim had been hiding out in northwestern Syria and Turkish intelligence had been key to his capture, says Reuters news agency, citing multiple sources.
The group named Abu Ibrahim al Hashimi al Quraishi as its new leader, according to a statement distributed by the group's media wing.
US Central Command Commander Kenneth McKenzie gave details of the raid that took place earlier this week, rejecting claims that Turkey's Operation Peace Spring in northern Syria delayed the raid on Daesh leader Abu Bakr al Baghdadi.
US President Donald Trump, confirmed the killing of Abu Bakr al Baghdadi's likely replacement, which coincided with the killing of Abu al Hassan al Muhajir on Monday, a high-ranking Daesh figure.
The US president was criticised on Twitter for his language, a media outlet was skewered for its headline and Muslims celebrated the death of a terrorist who is responsible for the brutal killings of so many Muslims.
Abu Bakr al Baghdadi's video appearance is an attempt to revive the morale of a group that has suffered heavy losses and is looking to rebrand itself.
The group's leader Abu Bakr al Baghdadi in the video acknowledged defeat in the group's last stronghold in Syria and discussed the Easter Day bombings in Sri Lanka, which killed over 250 people and for which the group claimed responsibility.
Kang has been detained without bond, and his lawyer claims that he suffers from mental illness. He added that FBI agents exploited him in a "sting" operation leading to his arrest.
Baghdadi's death, which has been frequently reported since he declared a caliphate from a mosque in the Iraqi city of Mosul in 2014, is one of the biggest blows yet to Daesh, which is trying to defend its shrinking territory in Syria and Iraq.
Iranian state agency IRNA quoted a representative of the Quds force as saying that the elusive leader of Daesh was dead but later the statement was withdrawn.
Daesh is accused of blowing up the Grand Al Nuri Mosque, where the terrorist group's leader Abu Bakr al Baghdadi proclaimed himself "caliph" in 2014.
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