The English Wikipedia says that Heliocentrism was "official" in Christianity in 1822 and in Judaism by the 20th century. What about Islam?
Muslim astronomers bestowed great contributions to astronomy. Since Islam was widespread and had many sects we can not talk about an official acknowledged date for heliocentrism. But we understand that Muslim Astronomers may have inspired Copernicus.
The influence of the Maragha school on Copernicus remains speculative, since there is no documentary evidence to prove it. The possibility that Copernicus independently developed the Tusi couple remains open, since no researcher has yet demonstrated that he knew about Tusi's work or that of the Maragha school.
For more info Geocentrism_and_Islamic_astronomy
It dated back to a few centuries earlier than Copernicus' puplication.
What more impressive idea came from Fakhr al-Din al-Razi was Multiverse
In other words, it depends on the personal perspective of each and every person. Therefore the "acknowledgement" has nothing to do with Islam or the Quran, but rather with the individual's values.