A single-arm stabilizer having suction capability includes a single, small leg through which suction can be applied. The leg has an upper surface and a lower surface that are spaced apart to define a chamber. The lower surface includes a plurality of openings that are disposed adjacent each other. A support arm is connected to the leg in order to position the leg as desired. A suction line is in fluid communication with the chamber in order to create a vacuum within the chamber. The stabilizer can be used to stabilize any desired portion of a patient's body, but is particularly effective at stabilizing the septum of a patient's heart. Such stabilization can be accomplished by inserting the leg into the patient's heart through the aorta.