Supporting Armenians Against Azerbaijani Aggression Act of 2023 This bill directs and authorizes certain actions aimed at supporting Armenia in its conflict with Azerbaijan. For example, the bill repeals presidential waiver authority that allows for certain foreign assistance to Azerbaijan; authorizes foreign military financing grants to Armenia for FY2024; requires the Department of State to submit a detailed strategy to Congress to ensure the durable security for the people of Nagorno-Karabakh and a detailed report on alleged Azerbaijani atrocities in its attacks on Armenia and Nagorno-Karabakh in 2022 and 2023; authorizes the State Department and USAID to implement activities related to development of Armenia's energy sector; requires the State Department to seek opportunities for partnership between U.S. and Armenian entities on science and technology; and requires the President to impose sanctions on certain Azerbaijani officials determined to have directed (1) operations instigating the 2020 Nagorno-Karabakh war, (2) attacks on Armenia in September 2022, (3) the blockade of the Lachin corridor beginning in December 2022, or (4) attacks on Nagorno-Karabakh in September 2023.