The eccentric 63-year-old Venezuelan, whose real name is Ilich Ramirez Sanchez, addressed the court for four hours at the end of the six-week trial today, before a panel of judges went into chambers for deliberations.
Carlos, who has been imprisoned in France since 1994, was found guilty in 2011 of masterminding the 1982 and 1983 attacks on two French passenger trains, a train station in Marseille and a Libyan magazine office in Paris.
He has denied any involvement in the attacks and said during the appeal that the evidence gathered from intelligence files against him was unreliable.
In his address to the court, Carlos said the evidence had been falsified by "manipulators serving foreign powers" and accused French investigators of being "agents of the American embassy".
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"We are not terrorists, we are soldiers!" Carlos, dressed in jeans and a leather jacket, told the court.
The 1982-83 bombings were widely believed to have been carried out to avenge France's detention of two fellow members of a militant group Carlos ran with the support of East Germany's notorious secret police, the Stasi.
Prosecutors in France had struggled to secure a conviction until the release of secret Stasi files in the years that followed the collapse of Communism and German reunification.
The panel of judges is also reviewing the acquittal of Christa Froehlich, a 70-year-old German, of charges of involvement in one of the attacks.
In numerous interviews over the years, Carlos has called himself a "professional revolutionary" and claimed responsibility for or involvement in dozens of attacks in which hundreds of people have died.
After years on the run from Western security services, he was finally arrested in Sudan in 1994 and transferred to France, where he was convicted three years later of the 1975 murder in Paris of two members of the French security services and an alleged informer.