BAGHDAD — A month after the last American troops left Iraq, the State Department is operating a small fleet of surveillance drones here to help protect the United States Embassy and consulates, as well as American personnel. Some senior Iraqi officials expressed outrage at the program, saying the unarmed aircraft are an affront to Iraqi sovereignty.

The program was described by the department’s diplomatic security branch in a little-noticed section of its most recent annual report and outlined in broad terms in a two-page online prospectus for companies that might bid on a contract to manage the program. It foreshadows a possible expansion of unmanned drone operations into the diplomatic arm of the American government; until now they have been mainly the province of the Pentagon and the Central Intelligence Agency.

American contractors say they have been told that the State Department is considering to field unarmed surveillance drones in the future in a handful of other potentially “high-threat” countries, including Indonesia and Pakistan, and in Afghanistan after the bulk of American troops leave in the next two years. State Department officials say that no decisions have been made beyond the drone operations in Iraq.

The drones are the latest example of the State Department’s efforts to take over functions in Iraq that the military used to perform. Some 5,000 private security contractors now protect the embassy’s 11,000-person staff, for example, and typically drive around in heavily armored military vehicles.