The Russian outfit have been punished by European football's governing body due to recent crowd trouble from their supporters.
"We've sent an appeal to the UEFA board of appeal," Babaev is quoted as saying by Sky Sports News. "In case they dismiss our appeal we're ready to address our complaint to the Court of Arbitration for Sports in Lausanne."
UEFA said that the offending fans were guilty of a number of offences including "racist behaviour of supporters, crowd disturbance, setting off/throwing of fireworks and missiles" and will not be allowed to attend their team's next two Champions League away games at Manchester City and Bayern Munich.
The travelling CSKA support were adjudged to have been responsible for clashes that left stewards and police officers injured after launching flares at Roma fans and trying to force their way into the home fans' section of the Stadio Olimpico.
The Russian club have faced UEFA punishment three times in 12 months.