The engine cover and front of the car were made from a single piece of molded carbon fibre.
The engine originally generated a maximum power output of 345 hp (257 kW; 350 PS).
At the 1993 Formula One Grand Prix held in Monte Carlo, Italdesign introduced a new, slightly redesigned version of the C2 called C2 Spider.
The car had removable glass panels instead of the semi-gullwing doors featured on the coupe, turning it into a roadster along with a modified engine cover.
The removable parts were housed in the luggage compartment in the front of the car and could be quickly reinstalled.
A roll bar in the colour of the car was fitted in order to reinforce the chassis to compensate for the loss of removable glass panels.
The Italian director Carlo Vanzina chose the Nazca C2 for a scene in his 1996 film, A spasso nel tempo, together with the Aztec and the Machimoto.