The Blues were able to hold the reigning Premier League champions to a draw in a game where chances were few and far between, with Benitez receiving a rough reception from the Stamford Bridge crowd.
The 30-year-old shot stopper believes the club are have ended the recent rut which resulted in the dismissal of manager Roberto Di Matteo, and admits he is very happy to finally get a clean sheet.
|PREMIER LEAGUE LATEST
|11/2||Chelsea are 11/2 with Bet365 to win the Premier League title this season
"We played the champions, it was an interesting performance in a way, but we kept a clean sheet and, at times, we were a danger, so it was a good start.
"It's never easy when a new manager comes in because he doesn't have time to work, so it's good to start with a positive result."
The Czech Republic international insists the players and fans need to give the Benitez a chance, following his tactical instructions and allowing him to make his mark on the team.
"We, as players, need to adapt quickly and start thinking positively in order to work with the manager and give him what he needs to help get results," added Cech.
"We need to put things right, we got a good point, and hopefully on Wednesday we'll win our game and push on from there.
"He's here to change things, to put us in a winning mode and he needs to be given a chance."