A:
Yes, it is permissible
to teach the Qur'an in return for fees, according to the most authentic of the opinions of scholars, as the Prophet (peace be upon him) said,
You are most entitled to take wages for teaching Allah's Book.
(Part No. 15; Page No. 97)
Narrated by
Al-Bukhari.
May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.