The Blues were rampant in the first half as Mason Mount scored his first goal for the club to give them a slender 1-0 lead at half-time.
Despite Leicester finding a way back into the game, Nevin saw enough signs to be positive about the future.
He wrote on the club's website: "There was so much to admire: Giroud's hold-up play including an exquisite back heel that almost gave N'Golo a goal; Jorginho biting into tackles and playing laser-guided forward passes; N'Golo his usual brilliant self, and Kurt Zouma attacking every ball and winning the lot.
"Mason Mount however was stealing the show and almost scored a couple of Lampard-like goals on top of the one he did tuck away after seven minutes. The second goal didn't arrive and in reality the dip was always likely to come."
He added: "There will be teething problems with the team, we all know that, but if we can simply extend that first 25 to 30 minutes a bit longer with each game, then very soon we will be a force to be reckoned with."