Sunan an-Nasa'i, Book 42, Hadith 37 (In-Book) ⓘ
It was narrated from 'Adiyy bin Hatim that he asked the Messenger of Allah about hunting and he said: "When you release your arrow or your dog, mention the name of Allah, and when your arrow kills (the game), then eat." He said: "What if it gets away from me for a night, O Messenger of Allah?" He said: "If you find your arrow and you do not find the mark of anything else, then eat it. But if it falls into the water, do not eat it."
أَخْبَرَنَا عَمْرُو بْنُ يَحْيَى بْنِ الْحَارِثِ، قَالَ حَدَّثَنَا أَحْمَدُ بْنُ أَبِي شُعَيْبٍ، قَالَ حَدَّثَنَا مُوسَى بْنُ أَعْيَنَ، عَنْ مَعْمَرٍ، عَنْ عَاصِمِ بْنِ سُلَيْمَانَ، عَنْ عَامِرٍ الشَّعْبِيِّ، عَنْ عَدِيِّ بْنِ حَاتِمٍ، أَنَّهُ سَأَلَ رَسُولَ اللَّهِ صلى الله عليه وسلم عَنِ الصَّيْدِ فَقَالَ " إِذَا أَرْسَلْتَ سَهْمَكَ وَكَلْبَكَ وَذَكَرْتَ اسْمَ اللَّهِ فَقَتَلَ سَهْمُكَ فَكُلْ " . قَالَ فَإِنْ بَاتَ عَنِّي لَيْلَةً يَا رَسُولَ اللَّهِ قَالَ " إِنْ وَجَدْتَ سَهْمَكَ وَلَمْ تَجِدْ فِيهِ أَثَرَ شَىْءٍ غَيْرَهُ فَكُلْ وَإِنْ وَقَعَ فِي الْمَاءِ فَلاَ تَأْكُلْ " .
also referenced under: Hadith 4299 (Reference) & Volume 5, Book 42, Hadith 4304 (DarusSalam)