This article provides a comprehensive survey on interference management techniques in Integrated Sensing and Communication (ISAC) systems, which integrate sensing and communication functionalities to meet the demands of ubiquitous communication and high-precision sensing. The authors review channel modeling and performance metrics, and then focus on managing self-interference (SI), mutual interference (MI), clutter, and cross-link interference (CLI) in single base station (BS) systems. They discuss methods for suppressing, avoiding, and exploiting these interferences, including hardware optimization, analog and digital cancellation algorithms, multiple access techniques, beamforming optimization, and the use of Reconfigurable Intelligent Surfaces (RIS). The article also explores cooperative interference management in coordinated multi-point ISAC (CoMP-ISAC) systems and highlights future trends in the field. The contributions of the article are detailed, and the structure and key findings are presented, providing a valuable reference for researchers and practitioners in the area of ISAC systems.This article provides a comprehensive survey on interference management techniques in Integrated Sensing and Communication (ISAC) systems, which integrate sensing and communication functionalities to meet the demands of ubiquitous communication and high-precision sensing. The authors review channel modeling and performance metrics, and then focus on managing self-interference (SI), mutual interference (MI), clutter, and cross-link interference (CLI) in single base station (BS) systems. They discuss methods for suppressing, avoiding, and exploiting these interferences, including hardware optimization, analog and digital cancellation algorithms, multiple access techniques, beamforming optimization, and the use of Reconfigurable Intelligent Surfaces (RIS). The article also explores cooperative interference management in coordinated multi-point ISAC (CoMP-ISAC) systems and highlights future trends in the field. The contributions of the article are detailed, and the structure and key findings are presented, providing a valuable reference for researchers and practitioners in the area of ISAC systems.