For minor children of an Italian citizen, in order to have the Italian citizenship recognized, the parent need to request the birth registration. All required documentation must be mailed in or dropped off at this Consulate Office during open hours. No need of appointment.
For all details about documentation requirements, please refer to
https://conschicago.esteri.it/consolato_chicago/it/i_servizi/per_i_cittadini/stato_civile