the one who catches up with the game (he shot) after three days may eat from it, unless it has turned rotten.  

عَنِ النَّبِيِّ ﷺ فِي الَّذِي يُدْرِكُ صَيْدَهُ بَعْدَ ثَلاَثٍ فَلْيَأْكُلْهُ إِلاَّ أَنْ يُنْتِنَ  

"I said: 'O Messenger of Allah, I release my dog and he catches the game, but I cannot find anything with which to slaughter it, so I slaughter it with a sharp-edged stone or a stick.' He said: 'Shed the blood with whatever you want, and mention the name of Allah.""  

قُلْتُ يَا رَسُولَ اللَّهِ أُرْسِلُ كَلْبِي فَيَأْخُذُ الصَّيْدَ وَلاَ أَجِدُ مَا أُذَكِّيهِ بِهِ فَأُذَكِّيهِ بِالْمَرْوَةِ وَالْعَصَا قَالَ أَهْرِقِ الدَّمَ بِمَا شِئْتَ وَاذْكُرِ اسْمَ اللَّهِ ﷻ