Yes, but for God's sake don't buy an aerox 3

should work, at least certainly with the 2.4ghz USB dongle, or just via Bluetooth (if supported by Xbox). The main advantage of the Steelseries, in my opinion, is that it has an integrated battery.
But if you don't necessarily like the RGB lighting, then I would recommend another wireless mouse that can also be connected wirelessly via Bluetooth or a USB 2.4 ghz dongle; namely the Razor Basilisk V3 X Hyperspeed. has an extremely long battery life, and RGB is "only" the scroll wheel! But it also feels very good in the hand and is about half the price. But I'm very happy with both. I use both as a gaming mouse (CS:GO etc.) but also as a work mouse, i.e. office mouse.