Yep, you’re generally allowed to travel with a VR headset, most airlines are fine with it in both carry-on and checked luggage, but it’s always safer to keep electronics like that in your carry-on.

As for the battery: built-in batteries in VR headsets (like those in the Meta Quest series) are usually lithium-ion and are treated like a laptop battery, not a power bank. So it’s not a problem, as long as you’re not carrying multiple loose lithium batteries or anything exceeding airline watt-hour limits (usually 100Wh for most airlines without special approval, VR headsets are way below that)