This claim exploits the coronavirus pandemic to push a recurring pro-Kremlin disinformation narrative about the EU's alleged imminent collapse. There is no evidence to support the doomsday claim that the pandemic is resulting in the death or obsolescence of the EU.
Although Ukraine is not part of the European Union, the country has signed an Association Agreement with the EU. Additionally, Ukrainian citizens were granted visa-free travel to the Schengen Area in 2017, for travel of up to 90 days within any 180-day period. While the business and leisure trips are both covered, Ukraine ETIAS does not include permission to work in the EU and a separate permit must be obtained, on which policies vary between Schengen member countries, and is open for everyone to apply.