Kammala jumla mai zuwa: A watan Disamba na 2011, an zabi Barkov ya taka leda a Finland a matsayin dan wasan Finnish mafi ƙanƙanta a gasar zakarun duniya na Ice Hockey Junior. A lokacin wasan kusa da na karshe a ranar 2 ga Janairu 2012 da Slovakia, Barkov ya zama dan wasa na biyu mafi ƙanƙanta da ya zira kwallaye a gasar zakarun duniya yana da shekaru 16 da watanni 4. Rikodin yana hannun Viktor Alexandrov na Kazakhstan, wanda ya kafa rikodin a
2001 yana da shekara 15.