D'Arienzo was a serious conservatory professor, and his writing for piano reflects a more formal, academic approach to the song-transcription genre. It features rich, cascading arpeggios that test technical fluency.
Balance the dense arpeggiated accompaniment with the emerging melodic theme.
Comparable difficulty and character — good candidates for what to learn next.
'A canzone d''e cucchiere is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 6.
You should be comfortable at Henle level 4 — meaning you can already play level 3–4 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of 'A canzone d''e cucchiere lasts about 4 minutes.
'A canzone d''e cucchiere is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include 'O surdato 'nnammurato by Enrico Cannio, Allegro in A major by Carl Philipp Emanuel Bach, Canto del esclavo by Nicolás Ruiz Espadero — see the full similar-pieces list on this page.