I’m surprised that the airport wasn’t shut down if they were on high alert for incoming. How many flights went out that evening?
The night it happen I was watching a commercial flight locator program. It seems there was no commercial flights shut down over Iran. The Ukrainian flight disappeared at the time it was shot down. The host kept re-streaming the time loop for the shoot down.
At the very least Aeroflot (SU152) and Austrian Airlines (OS872) flew in and out that day. FAA issued NOTAM for the area but it only related to US carriers. Emirates and Lufthansa stopped flying already after shotdown on their own initiative.
Iranian CSAF Amir Hodjizade claims they demanded civilian authorities to close airspace but it was ignored probably because a lot of big shots tried to move their families to Europe at the time.