A heart retractor links lifting of the heart and regional immobilization which stops one part of the heart from moving to allow expeditious suturing while permitting other parts of the heart to continue to function whereby coronary surgery can be performed on a beating heart while maintaining cardiac output unabated and uninterrupted. Circumflex coronary artery surgery can be performed using the heart retractor of the present invention. The retractor includes a plurality of flexible arms and a plurality of rigid arms as well as a surgery target immobilizing element. One form of the retractor can be used in minimally invasive surgery, while other forms of the retractor can accommodate variations in heart size and paracardial spacing.