In addition to teaching, Parker has been active as joint editor in the preparation of critical editions of the work of 19th-century Italian composer Gaetano Donizetti for the Milan publishing house Ricordi. He also acts as Repertory Consultant to the UK's specialised recording company, Opera Rara, which has commissioned performances and recordings of rare Donizetti operas such as "Belisario" in 2012 and "Les Martyrs" in 2014. Additionally, Parker has presented talks on UK radio on aspects of opera, including his talk "Verdi 200: Viva Verdi" on BBC Radio 3 on 6 January and 13 October 2013.