Conn. Gen. Stat. § 23-12

Any town or other municipality may transfer the care and control of any open spaces owned or controlled by it to the Commissioner of Energy and Environmental Protection upon such terms and for such periods as may be mutually agreed upon, or may enter into any agreement with said commissioner for the joint care or preservation of open spaces within or adjacent to such town or municipality, and said commissioner may, in like manner, transfer the care and control of any open spaces controlled by him to any local public authorities upon such terms and for such periods as may be agreed upon.