Short answer
No. The Quran describes the earth as spread out for people to live on, which is how it looks and feels to someone standing on it, not a claim about its overall shape. Classical Muslim scholars such as Ibn Hazm and Ibn Taymiyya stated that the earth is round, and some pointed to the Quran's description of night wrapping around day.
This is not a fiqh question. Believing the earth is round, or not having a view on it, does not affect anyone's faith, and the scholars did not treat the shape of the earth as a matter of creed.
The four schools agree on this.
Explanation
The ayat people quote say that Allah spread the earth: "And after that He spread the earth" (79:30), "and at the earth, how it is spread out" (88:20), and "We have spread it" (15:19). The words describe the earth as a wide, level place, prepared for walking, farming and building. A sphere as large as the earth looks and feels flat to anyone standing on it, so these ayat describe our experience of it, not its shape from space.
The Quran also says Allah "wraps the night over the day and wraps the day over the night" (39:5). The Arabic word yukawwir is used for winding a turban around a head, and several scholars saw in it a hint of a round earth, since night and day chase each other around it.
Muslim scholars who wrote on the subject in the classical period, such as Ibn Hazm of Andalus and later Ibn Taymiyya, stated that the earth and the heavens are round, and Muslim astronomers measured the earth's circumference long before the modern age. So the claim that Islam teaches a flat earth does not come from the Quran or from the mainstream of Muslim scholarship.
The Quran is a book of guidance, not a science textbook, but it asks you to look at creation and reflect (3:191). For more, see miracles of the Quran and the universe in Islam.
The evidence
Quran, Surah An-Naazi'aat 79:30
وَٱلْأَرْضَ بَعْدَ ذَٰلِكَ دَحَىٰهَآ ﴿٣٠﴾
And after that He spread the earth.
The earth is described as spread out for people.
Quran, Surah Al-Ghaashiya 88:20
وَإِلَى ٱلْأَرْضِ كَيْفَ سُطِحَتْ ﴿٢٠﴾
And at the earth - how it is spread out?
Again the earth is described as spread out, as it appears to people on it.
Quran, Surah Az-Zumar 39:5
خَلَقَ ٱلسَّمَٰوَٰتِ وَٱلْأَرْضَ بِٱلْحَقِّ ۖ يُكَوِّرُ ٱلَّيْلَ عَلَى ٱلنَّهَارِ وَيُكَوِّرُ ٱلنَّهَارَ عَلَى ٱلَّيْلِ ۖ وَسَخَّرَ ٱلشَّمْسَ وَٱلْقَمَرَ ۖ كُلٌّۭ يَجْرِى لِأَجَلٍۢ مُّسَمًّى ۗ أَلَا هُوَ ٱلْعَزِيزُ ٱلْغَفَّٰرُ ﴿٥﴾
He created the heavens and earth in truth. He wraps the night over the day and wraps the day over the night and has subjected the sun and the moon, each running [its course] for a specified term. Unquestionably, He is the Exalted in Might, the Perpetual Forgiver.
The image of night wrapping around day, which some scholars linked to a round earth.
Where the ruling is recorded
- al-Fisal fi al-Milal (Ibn Hazm), Discussion of the roundness of the earth. States that the earth is round and that the scholars of Islam do not deny it.
- Majmu' al-Fatawa (Ibn Taymiyya), Answer on whether the heavens are round. Reports scholarly agreement that the heavens are round and that the earth is round.
Checked by our team. For a more accurate answer to your own situation, consult a scholar. Quran translation by Sahih International. Hadith Arabic from the standard editions of the six books and the Muwatta, with gradings as recorded there; the English is our own rendering. Spotted a mistake? Tell us.