The 18 UCI Pro Teams received automatic invites.
Katusha has filed a suit in the Court of Arbitration for Sport against the UCI's refusal of its application for the 2013 World Tour.
RCS said Katusha was considered as a professional continental team.
Rodriguez has said he will leave Katusha if it is not admitted to the World Tour.
Last year, Rodriguez was runner-up in the Giro to Ryder Hesjedal of Canada.
RCS did invite Katusha to the Tirreno-Adriatico, Milan-San Remo and Il Lombardia.