The Messenger of Allah ﷺ said about the game hunted by a dog: If you set off your dog and have mentioned Allah's name, eat (it), even if it eats any of it; and eat what your hands return you. (Using translation from Abū Dāʾūd 2852)
قَالَ النَّبِيُّ ﷺ فِي صَيْدِ الْكَلْبِ إِذَا أَرْسَلْتَ كَلْبَكَ وَذَكَرْتَ اسْمَ اللهِ فَكُلْ وَإِنْ أَكَلَ مِنْهُ وَكُلْ مَا رَدَّتْ يَدُكَ أَوْ قَالَ كُلْ مَا رَدَّتْ عَلَيْكَ يَدُكَ