He has been with TVN24 since 2001, where he has presented and co-created a number of flagship current-affairs programmes, including Skaner polityczny (Political Scanner), Bohater tygodnia (Hero of the Week), Studio 24, Kulisy (Behind the Scenes), Rozmowa bardzo polityczna (A Very Political Conversation), and Tak jest (That’s How It Is).
Between 2005 and 2010, he worked alongside Tomasz Sekielski on the investigative programme Teraz My! (Now Us). In a 2006 episode, produced in cooperation with MP Renata Beger and using hidden-camera footage, the programme exposed conversations with politicians from the Law and Justice party, triggering what later became known in Poland as the “tape scandal".
Morozowski is the recipient of numerous journalism awards, including the Wiktor Award (2005) for Most Respected Journalist (shared with Tomasz Sekielski and Andrzej Turski), the Andrzej Woyciechowski Award (2006) for an episode of Teraz My! examining the decoration of Wojciech Jaruzelski with the Cross of Siberian Exiles, and the Grand Press Journalist of the Year Award (2006), shared with Sekielski. He is also a two-time recipient of the Telekamera Award(2007 and 2008) in the Current Affairs category.