I asked the Messenger of Allah ﷺ about the hyena. He replied: It is game, and if one who is wearing ihram (pilgrim's robe) hunts it, he should give a sheep as atonement. (Using translation from Abū Dāʾūd 3801)   

سُئِلَ رَسُولُ اللَّهِ ﷺ عَنِ الضَّبُعِ فَقَالَ «هُوَ صَيْدٌ وَفِيهِ كَبْشٌ إِذَا أَصَابَهُ الْمُحْرِمُ»  

[Machine] "Yes," I said, "I heard it from the messenger of Allah ﷺ?" He said, "Yes." It was said to Abu Muhammad, "What do you say about eating a hyena?" He said, "I dislike eating it."  

«نَعَمْ» قُلْتُ سَمِعْتَهُ مِنْ رَسُولِ اللَّهِ ﷺ؟ قَالَ «نَعَمْ» قِيلَ لِأَبِي مُحَمَّدٍ «مَا تَقُولُ فِي الضَّبُعِ تَأْكُلُهُ؟» قَالَ «أَنَا أَكْرَهُ أَكْلَهُ»