His work has been recorded by BIS, NMC, London Sinfonietta, Psappha and Prima Facie labels; an NMC recording (titled Wunderkammer(konzert), released in 2013) was devoted to large ensemble and orchestral works. A disc of Hesketh's piano music performed by pianist Clare Hammond was released by BIS in 2016; in the same year, the Prima Facie label released a chamber music disc performed by the Continuum Ensemble. An orchestral portrait disc, Hesketh's fourth disc, was released in 2018 to great critical acclaim, and Hesketh's fifth portrait disc concentrating on music for 2 pianos and piano four hands was released by the Prima Facie label, performed by the Françoise-Green piano duo in 2019.