Zaslavsky's international appearances led him to the concert halls in Israel, Germany, Holland, Italy, Spain, France, Japan, China, Taiwan, Columbia, Mexico, Argentina and Brazil.

His solo recitals took him to the international stages such as the Laeiszhalle Hamburg, the Alte Oper in Frankfurt, the Philharmonie am Gasteig in Munich, the Berliner Philharmonie, the Recital Hall of the Royal Concertgebouw in Amsterdam, the Palau de la Música de València, the Auditorio Nacional de Música in Madrid, the Salle Gaveau in Paris, the Oji Hall in Tokyo, the Concert Hall "Kitara" in Sapporo, the Teatro do Sesi in Porto Alegre and the Sala São Paulo in São Paulo, Brazil, the Tel-Aviv Museum of Arts and the Jerusalem Theatre.

Zaslavsky's discography contains several releases with EuroArts Music International: in 2012 the first Blu-Ray Audio release “Ingenious Opposites Vol.1” featuring works of Robert Schumann and Franz Liszt received the international Pizzicato Supersonic Award (2013).

The sequel “Ingenious Opposites Vol.2”, released in November 2013 on Blu-Ray Audio highly acclaimed by the "Pizzicato International Journal for Classical Music".

Zaslavsky's release of the filmed studio solo recital with works of Sergei Rachmaninov and Sergei Prokofiev was published on DVD in 2016 and his live recorded piano recital with works of Robert Schumann and Franz Liszt was released on DVD in 2017.