Grosvenor studied at the Royal Academy of Music, where he took musicianship classes with Daniel-Ben Pienaar and Julian Perkins.
Judith Weir composed her solo piano work Day Break Shadows Flee for Grosvenor, who gave its world premiere in September 2014.
In 2011, the Evening Standard selected Grosvenor as one of its "1,000 Most Influential Londoners"[10] and The Daily Telegraph chose him as one of its "Top 10 Britons of the Year".
[14] His 2020 recording of the Chopin Piano Concerti won both a Gramophone award in the Concerto category, and a 'Diapason d'Or de l'année' from the French magazine Diapason with Diapason's critic declaring that the recording is “a version to rank among the best, and confirmation of an extraordinary artist.” In July 2005, Grosvenor appeared in the BBC documentary "Being a Concert Pianist" as part of the Imagine series.
His first, Chopin Liszt Ravel, won the 2012 Gramophone Award for the best instrumental album released in the previous year.
[17] Also in 2012, he released Rhapsody in Blue, featuring music by Saint-Saëns, Ravel and Gershwin with the Royal Liverpool Philharmonic Orchestra conducted by James Judd.
In 2020, he released a recording of the Chopin Piano Concertos with Elim Chan and the Royal Scottish National Orchestra.
[19] In January 2021 it was announced that Grosvenor had re-signed to Decca with the first disc in this new contract being devoted to the music of Liszt.