Freeing is mentioned in the Quran in these verses:
[4:92] No believer shall kill another believer, unless it is an accident. If one kills a believer by accident, he shall atone by freeing a believing slave, and paying a compensation to the victim’s family, unless they forfeit such a compensation as a charity. If the victim belonged to people who are at war with you, though he was a believer, you shall atone by freeing a believing slave. If he belonged to people with whom you have signed a peace treaty, you shall pay the compensation in addition to freeing a believing slave. If you cannot find a slave to free, you shall atone by fasting two consecutive months, in order to be redeemed by God. God is Knower, Most Wise.
[5:89] God does not hold you responsible for the mere utterance of oaths; He holds you responsible for your actual intentions. If you violate an oath, you shall atone by feeding ten poor people from the same food you offer to your own family, or clothing them, or by freeing a slave. If you cannot afford this, then you shall fast three days. This is the atonement for violating the oaths that you swore to keep. You shall fulfill your oaths. God thus explains His revelations to you, that you may be appreciative.
[58:3] Those who estrange their wives in this manner, then reconcile thereafter, shall atone by freeing a slave before resuming their sexual relations. This is to enlighten you. God is Cognizant of everything you do.
[90:13] The freeing of slaves.
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