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»