Does apple buy old phones if you have already bought a new phone elsewhere?
Will Apple Store buy a phone outright for a gift card?
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It depends on the model and condition of the phone. Stop by your Apple Store and show the phone to them. It will have to be prepared appropriately, by using the directions in this link --> What to do before you sell, give away, or trade in your iPhone or iPad - Apple Support
And according to this link, it would need to be an iPhone 7 or newer to have any value from Apple --> Apple Trade In - Apple