"Na takovém letišti spal?"

Translation: Was he sleeping at such an airport?

[judygunson]

Could "in the aiport" be correct too?

[VladaFu]

In general probably yes, but how exactly do you want to phrase the sentence here?

[strubkin]

Did he sleep in such airport?

[VladaFu]

Please see my rant in my other comment.

I think you need an article.

[ken55414]

Did he sleep in an airport like this?

[VladaFu]

Who knows, maybe he did.

Or is this a suggested translation? Please use "My answer should be accepted" and if you also discuss here, tell us explicitly what you want us to do with the sentence.

[VladaFu]

According to my short research sleeping in an airport is indeeed possible.

I will add it in a few sentenced now, but someone more experienced may review or reverse that.

[horsthartm2]

"Did he sleep on such an airport." has to be considerd right. It might be well he slept inside the airport, on a bench and not inside a hotel there! Thx