Conn. Gen. Stat. § 33-1123: Insurance.

A corporation may purchase and maintain insurance on behalf of an individual who is a director, officer, employee or agent of the corporation, or who, while a director, officer, employee or agent of the corporation, serves at the corporation's request as a director, officer, partner, trustee, employee or agent of another domestic or foreign corporation, partnership, joint venture, trust, employee benefit plan or other entity, against liability asserted against or incurred by him in that capacity or arising from his status as a director, officer, employee or agent, whether or not the corporation would have power to indemnify or advance expenses to him against the same liability under sections 33-1116 to 33-1125, inclusive.