Depend on the elements

If it’s a wind elemental plane I’ll say not a hay hangar or wood hangar but a brick hangar might work

A lot of traditionalists will tell you to keep your planes on a great wheel of some kind, but I’ve found moons to work really well while being more portable

They need to check the board for the right Dimension Gate

You throw water on the fiery plane when you land at the airport.

But seriously, I would imagine the hangar would need to be constructed of a material that was neutral or resistant to the elements, maybe even composed of them altogether to have immunity to destruction by them. So a prismatic hangar that has all elemental resistances. Or you could go with a fifth element like aether. Or heart if you’re playing the Captain Planet RPG. Or Milla Jovovich.

Related question: What’s the difference between an airplane and the Plane of Air?