Slovakia's flying is shaped by a quirk of geography: Bratislava Airport (BTS), formally Milan Rastislav Štefánik Airport, sits only 60 kilometres from Vienna, so plenty of Slovak travellers simply use Vienna International Airport (VIE) instead. Bratislava itself handles low-cost and charter flights, historically with Ryanair as the dominant carrier, while Košice International Airport (KSC) covers the east. That overlap is worth keeping in mind when picking Slovakia airport hotels, since hotels near Bratislava Airport often serve people working in both cities.
Slovakia is in both Schengen and the eurozone, so it's fully inside the EU's open-border framework.
Hotels near the airport
These hotels draw a lot of business guests splitting time between Bratislava and Vienna, helped by the short transfer. The terminal is small, so check-in and security move quickly, which makes a nearby bed practical for an early flight.