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.
abudawud:2851ʿUthmān b. Abū Shaybah > ʿAbdullāh b. Numayr > Mujālid > al-Shaʿbī > ʿAdī b. Ḥātim

The Prophet ﷺ said: Eat what ever is caught for you by a dog or a hawk you have trained and set off when you have mentioned Allah's name. I said: (Does this apply) if it killed (the animal)? He said: When it kills it without eating any of it, for it caught it only for you. Abu Dawud said: If a hawk eats any of it, there is no harm (in eating it). If a dog eats it, it is disapproved (to eat the meat). If it drinks blood, there is no harm (in eating it).  

أبو داود:٢٨٥١حَدَّثَنَا عُثْمَانُ بْنُ أَبِي شَيْبَةَ حَدَّثَنَا عَبْدُ اللَّهِ بْنُ نُمَيْرٍ حَدَّثَنَا مُجَالِدٌ عَنِ الشَّعْبِيِّ عَنْ عَدِيِّ بْنِ حَاتِمٍ

أَنَّ النَّبِيَّ ﷺ قَالَ مَا عَلَّمْتَ مِنْ كَلْبٍ أَوْ بَازٍ ثُمَّ أَرْسَلْتَهُ وَذَكَرْتَ اسْمَ اللَّهِ فَكُلْ مِمَّا أَمْسَكَ عَلَيْكَ قُلْتُ وَإِنْ قَتَلَ قَالَ إِذَا قَتَلَهُ وَلَمْ يَأْكُلْ مِنْهُ شَيْئًا فَإِنَّمَا أَمْسَكَهُ عَلَيْكَ  

قَالَ أَبُو دَاوُدَ الْبَازُ إِذَا أَكَلَ فَلاَ بَأْسَ بِهِ وَالْكَلْبُ إِذَا أَكَلَ كُرِهَ وَإِنْ شَرِبَ الدَّمَ فَلاَ بَأْسَ بِهِ

See similar narrations below:

Collected by Nasāʾī, Nasāʾī's Kubrá, Suyūṭī
nasai:4275ʿAmr b. Yaḥyá b. al-Ḥārith > Aḥmad b. Abū Shuʿayb > Mūsá b. Aʿyan > Maʿmar > ʿĀṣim b. Sulaymān > al-Shaʿbī > ʿAdī b. Ḥātim al-Ṭāʾī

"If you release your dog and mention the name of Allah over him, and he kills (the game), but does not eat any of it, then eat. But if he has eaten from it, then do not eat, for he caught it for himself, and not for you."  

النسائي:٤٢٧٥أَخْبَرَنَا عَمْرُو بْنُ يَحْيَى بْنِ الْحَارِثِ قَالَ حَدَّثَنَا أَحْمَدُ بْنُ أَبِي شُعَيْبٍ قَالَ حَدَّثَنَا مُوسَى بْنُ أَعْيَنَ عَنْ مَعْمَرٍ عَنْ عَاصِمِ بْنِ سُلَيْمَانَ عَنِ الشَّعْبِيِّ عَنْ عَدِيِّ بْنِ حَاتِمٍ الطَّائِيِّ

أَنَّهُ سَأَلَ رَسُولَ اللَّهِ ﷺ عَنِ الصَّيْدِ قَالَ إِذَا أَرْسَلْتَ كَلْبَكَ فَذَكَرْتَ اسْمَ اللَّهِ عَلَيْهِ فَقَتَلَ وَلَمْ يَأْكُلْ فَكُلْ وَإِنْ أَكَلَ مِنْهُ فَلاَ تَأْكُلْ فَإِنَّمَا أَمْسَكَهُ عَلَيْهِ وَلَمْ يُمْسِكْ عَلَيْكَ  

nasai-kubra:4768ʿAmr b. Yaḥyá b. al-Ḥārith > Aḥmad b. Abū Shuʿayb > Mūsá b. Aʿyan > Maʿmar > ʿĀṣim b. Sulaymān > al-Shaʿbī > ʿAdī b. Ḥātim al-Ṭāʾī

"If you release your dog and mention the name of Allah over him, and he kills (the game), but does not eat any of it, then eat. But if he has eaten from it, then do not eat, for he caught it for himself, and not for you." (Using translation from Nasāʾī 4275)  

الكبرى للنسائي:٤٧٦٨أَخْبَرَنَا عَمْرُو بْنُ يَحْيَى بْنِ الْحَارِثِ قَالَ حَدَّثَنَا أَحْمَدُ بْنُ أَبِي شُعَيْبٍ قَالَ حَدَّثَنَا مُوسَى بْنُ أَعْيَنَ عَنْ مَعْمَرٍ عَنْ عَاصِمِ بْنِ سُلَيْمَانَ عَنِ الشَّعْبِيِّ عَنْ عَدِيِّ بْنِ حَاتِمٍ الطَّائِيِّ

أَنَّهُ سَأَلَ النَّبِيَّ ﷺ عَنِ الصَّيْدِ فَقَالَ «إِذَا أَرْسَلْتَ كَلْبَكَ وَذَكَرْتَ اسْمَ اللهِ فَقَتَلَ وَلَمْ يَأْكُلْ فَكُلْ فَإِنْ أَكَلَ مِنْهُ فَلَا تَأْكُلْ فَإِنَّمَا أَمْسَكَ عَلَيْهِ وَلَمْ يُمْسِكْ عَلَيْكَ»  

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السيوطي:١٩٠٤٨a

"مَا عَلَّمْتَ مِنْ كلبٍ أوْ بَازٍ ثُمّ أرْسَلتَهُ وَذكَرْتَ اسْمَ الله فَكُلْ مما أَمْسَكَ عَلَيكَ".  

[د] أبو داود [ق] البيهقى في السنن عن عدى بن حاتم