When it comes to politics, he is regarded as a left-wing intellectual. He gained public attention in April 2013 when he started a petition for the removal of Franjo Tuđman's statue in Split. He later announced his candidacy for the council assembly at the 2013 Split local elections. He received 1.97% of the popular vote. In December 2014, he was a guest on the national TV talk show, Nedjeljom u 2, which is the most popular TV talk show in Croatia and it pushed Markovina into mainstream media. About the same time, he was informed that his contract with the University of Split was not going to be renewed so he lost his job as a university professor. He was later offered a job by Milorad Pupovac to work with the archives at the Serb National Council which he accepted and then left after a few months. Markovina is known for his opposition to the modern Croatian politics which to him originates from the 1990s. He is a fierce critic of the Franjo Tuđman regime and his modern legacy. He calls for a public recognition of the Croatian war crimes against Serbs in the Croatian War of Independence and possibly his most devoted field of engagement is the defense of the Yugoslavanti-fascist movement in World War II which is marginalised and ignored by the modern Croatia government. He also supports the separation of church and state in Croatia. He is politically engaged in his hometown of Mostar in Bosnia and Herzegovina. He criticizes the Croat administration in Mostar for dividing the city into 2 parts and for creating a nationalistic rhetoric which promotes hate between Croats and Bosniaks. He also supports the idea that the football club FK Velež Mostar should return to their original stadium. Their original stadium was stolen by the Croatian administration in 1992 and given to the football club HŠK Zrinjski Mostar. Markovina is a very active writer. His first book from 2014, Between red and black, is one of the first historical books in Croatia which focuses on the effects and disasters of the Croatian right wing government in Split and Mostar during the 1990s. His third book, History of the defeated, is focused on the devastation of Yugoslavian legacy in Croatia. When it comes to his opinion on political party's in Croatia, he is a strong critic of both HDZ and SDP. For Markovina, HDZ is a right wing nationalist party which promotes hate and SDP is a party that betrayed social democracy. As a teenager, Markovina was a sympathizer and friend of Stipe Šuvar and his Socialist Labour Party of Croatia in the late 1990s and early 2000s. In 2014, he said on a TV talk show that he is not a member of any party but he believes that the far-left Workers' Front has a perspective and that he wishes them all the best. In 2016, he began setting up his own left-wing party. In 2017, Markovina has signed the Declaration on the Common Language of the Croats, Serbs, Bosniaks and Montenegrins. Markovina is a columnist for the national weekly newspaper Telegram.
New Croatia Left
On 18 December 2016, Markovina alongside other well known intellectuals and civil activists founded the New Left Croatia, a left wing political party mostly oriented towards social democracy and anti-fascism. He announced his candidacy for Mayor of Split in the 2017 local elections. He received 3.47% of the popular vote in the Mayor elections while the New Left received 4,36% of the popular vote in the City council elections.