Traveling Within the European Union for Ukrainian Nationals
In most cases, if you have fled the war in Ukraine you will be able to travel to other EU countries. For Ukrainians this right comes from visa free regime in place between the EU and Ukraine. If you come from a third country, you need to check whether your country of origin is on the list of third countries whose nationals are exempt from the requirement to have a visa.
Ukrainian Nationals are able to move throughout EU Countries
Yes, Ukrainians or nationals from other visa free countries can continue and travel to other EU/Schengen countries. However, if you crossed the EU border for the first time through a country that is not part of the EU area without internal border control (Romania, Bulgaria, Croatia, Cyprus and Ireland) your documents will, as a general rule, be checked again at the border crossing point of the next Schengen country.
Once you enter a country that is part of this area, you can move, in principle without border checks, to other countries that are part of the Schengen area. However, you can only do so for 90 days within a 180 days period.
Note that Iceland, Norway, Switzerland and Liechtenstein are not EU countries, but they are Schengen countries. You can travel to those countries once you have entered the Schengen area, but your rights related to international or temporary protection may differ from those you have in EU countries.
While Denmark is an EU and a Schengen country, it does not take part in the temporary protection scheme and does not apply the EU rules on Asylum. Therefore, your rights related to international or temporary protection in Denmark may differ from those you have in other EU countries.
This information has been provided by the European Commission