He is considered one of the founders of Czech national violoncello school.
[1] Apparently at some point he lived and worked in England, where in London he met Czech singer and composer Josef Theodor Krov, who called Šťastný, the "Beethoven of the violoncello".
Šťastný's cello and basso continuo composition is regarded, in the opinion of violinist, conductor, and cello music historian Wilhelm Joseph von Wasielewski, as one of the best examples of antique cello compositions.
He composed cello pieces (11 opus numbers), duets, variations, sonatas, divertimento, instructive pieces, concertino, Grand Trio.
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