[3] Satoria was selected to the Czech Republic national team for four different U-23 Baseball World Cups, in 2014, 2016, 2018 and 2021.
[4] He was again on the Czech roster for the 2023 World Baseball Classic qualifiers, working a scoreless 0.2 innings.
[5] At the 2023 World Baseball Classic, Satoria made a single appearance in a start against heavily favored Japan; he allowed three runs over three innings of work, taking the loss in the 10–2 defeat.
[6] Nevertheless, he made international headlines when he struck out three Samurai Japan players: Lars Nootbaar, Kensuke Kondoh, and Shohei Ohtani.
[7][8][9] The strikeout of Ohtani, considered one of the best players in the world, by a part-time electrician was described by The Japan Times as "one shining moment" where "David toppled Goliath.