Abu Tha'labah (RAA) narrated that the Messenger of Allah (ﷺ) said:

"When you shoot your arrow and the game has gone our of sight, eat it when you come upon it, provided it has not become rotten."

وَعَنْ أَبِي ثَعْلَبَةَ ‏- رضى الله عنه ‏- عَنِ اَلنَّبِيِّ ‏- صلى الله عليه وسلم ‏-قَالَ: {

إِذَا رَمَيْتَ بِسَهْمِكَ, فَغَابَ عَنْكَ, فَأَدْرَكْتَهُ فَكُلْهُ, مَا لَمْ يُنْتِنْ

} أَخْرَجَهُ مُسْلِمٌ (1749)‏ .‏