Member of Parliament Droba was elected to parliament in 2010 and again in 2012 on the liberal
Freedom and Solidarity (SaS) party list. He left the party with four other MPs in 2013 due to disagreement with the leadership of the party's chairman
Richard Sulík. The defectors subsequently founded the liberal wing of the
Nova party led by former Minister of Interior Affairs
Daniel Lipšic. Droba ran for the
MEP seat on the New Majority list in 2014, but was not elected. He later found himself at odds with conservative members on the New Majority and expressed the desire to rejoin SaS, but was not allowed back by the party members despite Sulík's support. Despite the rejection, Droba and another MP
Eugen Jurzyca, who had previously defected from the
Slovak Democratic and Christian Union – Democratic Party, joined with the loyalist SaS MPs to reestablish the SaS parliamentary faction, which had been previously dissolved as the remaining number of MPs after the defection was too low to warrant a faction.
Governor of Bratislava region opening a school in the Bratislava region Droba was elected Governor of the Bratislava region in 2017 but he gave up his MP seat. He rejoined the Freedom and Solidarity in 2019. and ran on the party list in the
2020 Slovak parliamentary election. Despite being elected, Droba did not take his seat, claiming he only ran to support the party. He was criticised for disruption in the regional bus service following the change in the company operating the bus lines in 2021. Droba blamed the
Arriva company who took over the lines for disruption and claimed he spared no effort to rectify the situation as soon as possible. ==Personal life==