The Czech goalkeeper has called on his side to become more ruthless and ensure that the Blues avoid the sort of nerve-jangling finish they encountered at the Emirates
The experienced Czech Republic international was forced into making second-half saves from Lukas Podolski and Olivier Giroud to ensure that the European champions travelled back to Stamford Bridge victorious.
"It was a pity we did not add a third as we had plenty of speed on the counter-attack," Cech told the club's official website. "We were not calm enough when finishing, and it was nervous up until the end."
The 30-year-old went on to describe the importance of victory against a previously unbeaten Arsenal who had impressed in the opening stages of this season.
"It was our first meeting with one of our main rivals this season," Cech continued. "Moreover, we were away so the three points were very valuable. We wanted to stay on top of the table and we managed to do that."
Chelsea travel to Denmark to face FC Nordsjaelland next for their second game in defence of their Champions League crown, after their opening Group E fixture saw them draw 2-2 with Italian giants Juventus at Stamford Bridge.