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.  

سَأَلْتُ رَسُولَ اللَّهِ ﷺ عَنِ الضَّبُعِ فَقَالَ هُوَ صَيْدٌ وَيُجْعَلُ فِيهِ كَبْشٌ إِذَا صَادَهُ الْمُحْرِمُ