The 20-year-old breezed through to the latter stage of the competition as he finished fourth in his heat with a rating of 86.75, and as a result earned automatic qualification.
Nicholls's Team GB teammate Billy Morgan is through to the semi-finals of the event after he finished in sixth place with a score of 85.50, but will now have to compete again to get a place in the final.
Nicholls wrote on Twitter: "Haha this is well fun!!! #Olympics #Sochi2014."
The semi-finals and the final will take place on Saturday.