Conn. Gen. Stat. § 54-127: Rearrest.

The request of the Commissioner of Correction or any officer of the Department of Correction so designated by the commissioner, or of the Board of Pardons and Paroles or its chairman shall be sufficient warrant to authorize any officer of the Department of Correction or any officer authorized by law to serve criminal process within this state, to return any parolee on parole into actual custody; and any such officer, police officer, constable or state marshal shall arrest and hold any parolee when so requested, without any written warrant, and the commissioner shall make such request if the parolee is a serious firearm offender, as defined in section 53a-3, and is arrested while on parole for a felony offense, or if the parolee is arrested for a serious firearm offense as defined in section 53a-3.