He interrupted his studies at the Adam Mickiewicz University in Poznań (mathematical faculty) to move on to study acting at The Aleksander Zelwerowicz National Academy of Dramatic Art in Warsaw and graduated in 1955. His theatre debut was in 1956. His entire professional life (until his retirement in 1996) was associated with the Warsaw Theatre of the People (since 1975, Teatr Nowy). He has also dubbed.
Zaliwski earned a laureate acting in the category of radio dramas from the Polish Radio Theatre for his role in the Dwa Teatry in Sopot in 2001.
Zaliwski dubbed many characters in Disney productions.
He was married to the actress Teresa Lipowska. Zaliwski died in 2006, and was consequently buried in Warsaw at the cemetery in Pyry.
- Snow Dogs - James "Thunder Jack" Johnson
- The Rescuers Down Under - Percival C. McLeach
- One Hundred and One Dalmatians - Captain
- DuckTales - additional voices (four episodes)