Morrone’s acting career began in 2011 by playing the role of Riccardo in Second Chance, ^{a three-episode web series directed by Piergiorgio Seidita, which was cancelled after one season. He also appeared in a music video by the Italian girl band, Makay, in 2012. After gaining more experience in the field, he started playing lead roles in short films. He acted in Il Tempo di una Sigaretta and E la Vita Continua. He was featured in a drama show titled Che Dio ci Aiuti. His projects include Italian TV series including Come un Delfino (2011), Provaci Ancora (2015), Squadra Antimafia (2015), Sirene(2016), Renata Fonte (2017), Il Processo (The Trial) (2018), and Medici (2018).In 2016, he took part in the eleventh season of the Italian version of Dancing with the Stars (Ballando con le Stelle), where he placed second. In 2019, Morrone played the lead role of Luigi in Bar Giuseppe.}

In 2020, Morrone became internationally known after performing the lead role of Massimo Torricelli, a mafia crime boss, in 365 days. The film was released theatrically in Poland on 7 February 2020 and was subsequently made available on Netflix on 7 June 2020. He signed a three-year contract with the production company and filmed two more films to complete the trilogy.