ENOfficial
Narrated Adi ibn Hatim: Messenger of Allah, one of us shoots at the game, and follows its mark for two or three days, and then finds it dead, and there is his arrow (pierced) in it, may he eat it? He said: Yes, if he wishes, or he said: he may eat if he wishes.
Source: sunnah.com
Other translations
Arabic
حَدَّثَنَا الْحُسَيْنُ بْنُ مُعَاذِ بْنِ خُلَيْفٍ، حَدَّثَنَا عَبْدُ الأَعْلَى، حَدَّثَنَا دَاوُدُ، عَنْ عَامِرٍ، عَنْ عَدِيِّ بْنِ حَاتِمٍ، أَنَّهُ قَالَ يَا رَسُولَ اللَّهِ أَحَدُنَا يَرْمِي الصَّيْدَ فَيَقْتَفِي أَثَرَهُ الْيَوْمَيْنِ وَالثَّلاَثَةَ ثُمَّ يَجِدُهُ مَيِّتًا وَفِيهِ سَهْمُهُ أَيَأْكُلُ قَالَ " نَعَمْ إِنْ شَاءَ " . أَوْ قَالَ " يَأْكُلُ إِنْ شَاءَ " .
sunnah.com