Simon played in the 2007 Quebec International Pee-Wee Hockey Tournament with a youth team from Chomutov.

[15] In the pandemic delayed 2020–21 season, Simon struggled to find a role within the Flames, going scoreless in 11 games before he was re-assigned to AHL affiliate, the Stockton Heat.

At the conclusion of his contract with the Flames, on 28 July 2021 Simon returned to the Pittsburgh Penguins as a free agent on a one-year, two-way deal.

[16] On 21 March 2022, Simon was traded by Pittsburgh along with Zach Aston-Reese to the Anaheim Ducks in exchange for Rickard Rakell.

[18] Simon made his Czech Republic national team senior debut when he participated at the 2015 IIHF World Championship.