Sayyiduna Abu Tha'labah al-Khushani (may Allah be pleased with him) said that the Messenger of Allah (peace and blessings be upon him) said: "When you shoot game with your arrow and it remains out of sight for three days and then you find it, you may eat it as long as it has not begun to stink."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصيد والذبائح / 18910