The American pronunciation is:

keer · guh · staan

And British pronunciation is:

keeuh · guh · staan

If you want to hear real-life examples of how to pronounce Kyrgyzstan in English, you can check out this video:

How to pronounce Kyrgyzstan in Kyrgyz

In Kyrgyz, the country’s name is written as “Кыргызстан” and is pronounced as “Kyrgyzstan”. In the official state language it is pronounced as “Kyrgyz Respublikasy”.

Here is a video how Kyrgyz people pronounce Kyrgyzstan: