Is it permissible to listen to the Qur’an while sleeping with the intention of memorization, and does this align with His (the Almighty’s) saying: "And when the Qur’an is recited, then listen to it and pay attention that you may receive mercy"?

There is no evidence to prove that the subconscious mind benefits from recited Qur’an during sleep to facilitate memorization. Furthermore, some people's deduction from the verse "And among His Signs is your sleep by night and by day" is out of place. The way to memorize the Qur'an is by being sincere to Allah, adhering to a شيخ (teacher) to perfect recitation, and consistently memorizing and reviewing, bearing in mind that the Qur'an is more prone to escape. There is no harm in playing the Qur'an before sleep with the intention of benefit and blessing. This does not contradict the verse "And when the Qur'an is recited, then listen to it and pay attention," as this verse specifically applies to prayer and the khutbah (sermon), according to the majority of exegetes, and a sleeping person is not held accountable.