"On this occasion, we invite the Chinese authorities to respect the fundamental human rights of Uighur Turks and to close the internment camps", he said.
China has expressed its protest over the Turkish Foreign Ministry spokesman Hami Aksoy's claims that Chinese Uyghur "re-education camps" were "internment camps", the Chinese Foreign Ministry's spokeswoman said on Monday.
The musician says he is "in the process of being investigated for allegedly violating national laws".
The Uighurs are a Muslim Turkic-speaking minority based in the north-west Xinjiang region of China, which has come under intense surveillance by Chinese authorities.
Turkey broke its silence this weekend over China's mass detention of Uighur Muslims, telling Beijing that its continued subjugation of the ethnic minority is "a great cause of shame for humanity".
A Turkish diplomatic source told Reuters that while it was naturally a positive development if the video was "true" and Heyit was alive, the main issue the Turkish foreign ministry addressed in its statement was the "heavy violations" of human rights in China.
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Abdurehim Heyit is thought to have been serving an eight-year sentence in the Xinjiang region, where up to a million Uighurs are reportedly being detained.
"Even if it is the case that he is alive and that China seems to be scoring a point [by] calling out Turkey ... then that should not obscure the fact that he's being held incommunicado, which itself encourages these kind of rumours flying around."
Wearing a black and white sweater over a collared shirt, he said he was in "good health" and has "never been abused", according to the subtitles.
The spokesperson informed that China has taken many counter-terrorism and de-extremism measures in the region as it has faced grave terror threats since the 1990s which severely threaten the safety of all people in Xinjiang.
"We hope the Turkish side will have a correct understanding of the efforts made by China to legally deploy measures to effectively fight terrorism and extremism, withdraw its false accusations and take measures to eliminate their harmful effects", it added.
Their language is close to Turkish and a significant number of Uighurs have fled to Turkey from China in recent years.
China denied the existence of the so-called "de-radicalisation" facilities for months before saying they were, in fact, vocational training centres created to combat extremism.