He represented Poland at the 2016 Summer Paralympics held in Rio de Janeiro, Brazil, and he won the bronze medal in the men's shot put F55 event.

At the 2016 IPC Athletics European Championships held in Grosseto, Italy, Stoltman won the bronze medal in the men's shot put F55 event.

At the 2017 World Para Athletics Championships held in London, United Kingdom, he won the silver medal in the men's shot put F55 event.

At the 2019 World Para Athletics Championships held in Dubai, United Arab Emirates, he also won the silver medal in this event.

[3][4] As a result, he qualified to represent Poland at the 2020 Summer Paralympics in Tokyo, Japan, in the men's shot put F55 event.