Several countries (or rather: parts of countries) have daylight 24 hours a day around midsummer. It will have to be countries situated north of the Arctic circle, as there are no "countries" situated south of the Antarcic circle. The countries include USA (North Alaska), North Canada, most of Greenland, parts of Norway, Sweden and Finland plus Northern Russia.
You see the countries here. The Arctic circle just misses Iceland. The Arctic circle misses mainland Iceland, but hits the small island of Grimsey, with 100 inhabitants. You might not call it a "country", but Svalbard is the populated area with the greatest number of daylight hours
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There are no permanent human settlements south of the Antarctic Circle, so the countries and territories whose populations experience it are limited to the ones crossed by the Arctic Circle, i.e. Canada, United States of America (Alaska), Denmark (Greenland), Norway, Sweden, Finland, Russia, and extremities of Iceland. A quarter of Finland's territory lies north of the Arctic Circle and at the country's northernmost point the sun does not set for 73 days during summer. In Svalbard, Norway, the northernmost inhabited region of Europe, there is no sunset from approximately 19 April to 23 August.
https://en.wikipedia.org/wiki/Midnight_sun
https://en.wikipedia.org/wiki/File:Arctic.svg
https://en.wikipedia.org/wiki/File:Map_of_Iceland.svg