Odobescu served as cabinet minister for religion and education in 1863, as head clerk at the Ministry of Foreign Affairs in 1865, and as prosecutor at the Court of Appeal.
С 1863 служил в кабинете министра по делам религии и образования, с 1865 чиновником в министерстве иностранных дел, позже — прокурором Апелляционного суда.