You can only apply with the Italian Consulate that has jurisdiction over the State where you reside.
NOTE: As of July 8th, 2014 all applications for the recognition of the Italian citizenship Jure Sanguinis (by descent) and Jure Matrimonii (in case of foreign national whose husband is an Italian citizen married prior to April 27, 1983) are subject to the PAYMENT OF A € 300 FEE (Law n. 66 April 24th, 2014 and modifications Law n. 89 June 23rd, 2014 art. 5-bis, comma 1). The application fee is NON REFUNDABLE, regardless of the outcome of the petition.
Address: 600 Atlantic Ave. Boston, MA 02210 Tel.: (617) 722-9201/02/03 Fax: (617) 722-9407
Website: http://www.consboston.esteri.it/consolato_boston/en/ (Select "Citizenship" from Quick Links)
Jurisdiction: Maine, Massachusetts, New Hampshire, Rhode Island, Vermont.
Address: 500 North Michigan Ave., Suite 1850 Chicago, IL 60611 Tel.: (312) 467-1550 Fax: (312) 467-1335
Website: http://www.conschicago.esteri.it/consolato_chicago/en/ (Select "Passport & Services" and then "Citizenship)
Jurisdiction: Colorado, Illinois, Iowa, Kansas, Minnesota, Missouri, Nebraska, North Dakota, South Dakota, Wisconsin, Wyoming.
Address: Buhl Building 535 Griswold, Suite 1840 Detroit, MI 48226 Tel.: (313) 963-8560 Fax: (313) 963-8180
Website: http://www.consdetroit.esteri.it/consolato_detroit/en/ (Select "Passport & Services" and then "Citizenship)
Jurisdiction: Indiana, Kentucky, Michigan, Ohio, Tennessee
Address: 150 S. Independence Mall West Suite 1026 Philadelphia, PA 19106-3410 Tel.: (215) 592-7329 Fax: (215) 592-9808
Website: http://www.consfiladelfia.esteri.it/consolato_filadelfia/en/ (Select "Passport & Services" and then "Citizenship)
Jurisdiction: Pennsylvania, Delaware, North Carolina, West Virginia, New Jersey (only the following counties: Atlantic, Burlington, Camden, Cape May, Cumberland, Gloucester, Ocean and Salem. The remaining counties are under the jurisdiction of the Consulate General in New York), Maryland (except for the counties of Montgomery and Prince George which fall under the jurisdiction of the consular section of the Embassy) and Virginia (except for the counties of Arlington and Fairfax which are also under the jurisdiction of the Embassy).
Address: 1300 Post Oak Blvd., Suite 660 Houston, TX 77056 Tel.: (713) 850-7520 Fax: (713) 850-9113
Website: http://www.consHouston.esteri.it/consolato_Houston/en/ (Select "Consular Services" from Quick Links and then "Citizenship")
Jurisdiction: Arkansas, Louisiana, Oklahoma, Texas
Address: 12400 Wilshire Blvd., Suite 300 Los Angeles, CA 90025 Tel.: (310) 820-0622 Tel.: (310) 826-6207 Fax: (310) 820-0727
Website: http://www.conslosangeles.esteri.it/consolato_losangeles/en/ (Select "Passport & Services" and then "Citizenship)
Jurisdiction: Arizona, California (The following counties: Imperial Valley, Kern, Los Angeles, Orange, Riverside, Santa Barbara, San Bernardino, San Diego, San Luis Obispo, Ventura), New Mexico, Nevada.
Address: 4000 Ponce de León Blvd., Suite 590 Coral Gables, FL 33146 Tel.: (305) 374-6322 main number Fax: (305) 374-7945
Website: http://www.consmiami.esteri.it/consolato_miami/en/ (Select "Citizenship Office" from Quick Links)
Jurisdiction: Alabama, British Virgin Islands, Cayman Islands, Florida, Georgia, Island of Saba, Mississippi, Puerto Rico, St. Maarten, St. Eustatius, South Carolina, Turks and Caicos, U.S. Virgin Islands.
Address: 3000 Whitehaven Street, N.W. Washington, DC 20008 Tel.: (202) 612-4400 Fax: (202) 518-2152
Jurisdiction: District of Columbia, Maryland: Montgomery and Prince George's counties only, Virginia: Arlington and Fairfax counties only and the city of Alexandria
Address: 690 Park Ave.New York, NY 10065 Tel.: (212) 737-9100 Fax: (212) 249-4945
Website: http://www.consnewyork.esteri.it/consolato_newyork/en/ (Select "Passport & Services" and then "Citizenship")
Jurisdiction: The Consulate General in New York provides services to residents in the States of New York and Connecticut and the British Territories of Bermuda Islands.
It also provides services for a portion of New Jersey (Counties of Bergen, Essex, Hudson, Hunterdon, Mercer, Middlesex, Monmouth, Morris, Passaic, Somerset, Sussex, Union, Warren).
Address: 2590 Webster St. San Francisco, CA 94115 Tel.: (415) 292-9200 Fax: (415) 931-7205
Website: http://www.conssanfrancisco.esteri.it/consolato_sanfrancisco/en/ (Select "Passport & Services" and then "Citizenship)
Jurisdiction: Alaska, California (except the following counties: Imperial Valley, Kern, Los Angeles, Orange, Riverside, San Diego, Santa Barbara, San Bernardino, San Luis Obispo and Ventura, which fall within the jurisdiction of the Consulate General in Los Angeles), Idaho, Montana, Oregon, Utah, Washington, Hawaii. Also, the following American territories of: Guam, Northern Mariana Islands, Samoa, Wake Island, Midways Islands, Johnston Atoll.