In the negotiations to form a coalition government of the Christian Democrats (CDU together with the Bavarian CSU) and the Free Democratic Party (FDP) following the 2009 federal elections, Hintze was part of the CDU/CSU delegation in the working group on foreign affairs, defense and development policy, led by Franz Josef Jung (CSU) and Werner Hoyer (FDP). Later, in the negotiations to form a "Grand Coalition" of Merkel's Christian Democrats and the SPD following the 2013 German elections, he was part of the CDU/CSU delegation in the working group on bank regulation and the Eurozone, led by Herbert Reul and Martin Schulz.