Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
bukhari:5485ʿAbd al-Aʿlá > Dāwud > ʿĀmir > ʿAdī

And it has also been narrated by ʿAdi bin Hatim that he asked the Prophet ﷺ "If a hunter throws an arrow at the game and after tracing it for two or three days he finds it dead but still bearing his arrow, (can he eat of it)?" The Prophet ﷺ replied, "He can eat if he wishes."  

البخاري:٥٤٨٥وَقَالَ عَبْدُ الأَعْلَى عَنْ دَاوُدَ عَنْ عَامِرٍ عَنْ عَدِيٍّ

أَنَّهُ قَالَ لِلنَّبِيِّ ﷺ يَرْمِي الصَّيْدَ فَيَقْتَفِرُ أَثَرَهُ الْيَوْمَيْنِ وَالثَّلاَثَةَ ثُمَّ يَجِدُهُ مَيِّتًا وَفِيهِ سَهْمُهُ قَالَ يَأْكُلُ إِنْ شَاءَ  


See similar narrations below:

Collected by Abū Dāwūd
abudawud:2853al-Ḥusayn b. Muʿādh b. Khulayf > ʿAbd al-Aʿlá > Dāwud > ʿĀmir > ʿAdī b. Ḥātim

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.  

أبو داود:٢٨٥٣حَدَّثَنَا 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