I asked Messenger of Allah ﷺ about hunting. He said: When you shoot your arrow, recite the name of Allah, and if you find it (the arrow) killed (that). then eat, except when you find it fallen into water, for in that case you do not know whether it is water that caused its death or your arrow. (Using translation from Muslim 1929k)  

سَأَلْتُ رَسُولَ اللهِ عَنِ الصَّيْدِ فَقَالَ «إِذَا رَمَيْتَ سَهْمَكَ فَاذْكُرِ اسْمَ اللهِ فَإِنْ وَجَدْتَهُ قَتَلَ فَكُلْ إِلَّا أَنْ تَجِدَهُ قَدْ وَقَعَ فِي مَاءٍ فَلَا تَدْرِي الْمَاءُ قَتَلَهُ أَوْ سَهْمُكَ»  

"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." (Using translation from Nasāʾī 4299)  

أَنَّهُ سَأَلَ النَّبِيَّ ﷺ عَنِ الصَّيْدِ فَقَالَ «إِذَا أَرْسَلْتَ سَهْمَكَ وَكَلْبَكَ وَذَكَرْتَ اسْمَ اللهِ فَقَتَلَ سَهْمُكَ فَكُلْ» قَالَ فَإِنْ بَاتَ عَنِّي لَيْلَةً يَا رَسُولَ اللهِ؟ قَالَ «إِنْ وَجَدْتَ سَهْمَكَ وَلَمْ تَجِدْ فِيهِ أَثَرَ شَيْءٍ غَيْرَهُ فَكُلْ وَإِنْ وَقَعَ فِي الْمَاءِ فَلَا تَأْكُلْ»