Chelsea owner Roman Abramovich axed the popular Roberto Di Matteo on Wednesday, hours after a Champions League defeat by Juventus continued the team's poor run of results, and appointed Spaniard Benitez for the rest of the season.
The former Liverpool manager's arrival in the dugout shortly before kick-off was serenaded by jeers and boos from the home supporters who continued to chant Di Matteo's name throughout the first half.
"I was just concentrating on the game, I was not paying attention to anything else, just the performance of the players on the pitch," Benitez told reporters after a point apiece kept Chelsea fourth and City second in the standings.
"I can understand [the boos] because of the rivalry in the past but the majority of the fans will understand. I am a professional and I want to do my job, I want to win for the club and I want to win with them."
It was easy to see why both teams have struggled to make an impression in the Champions League this season. Chelsea's fate is out of their hands going into the final game and City, still unbeaten in the Premier League after 13 games, are condemned to a group-stage exit for the second successive season.
Striker Fernando Torres, recalled by Benitez after being dropped to the bench by Di Matteo against Juve, wasted the home side's best chance when he fired over in the second half.
Roberto Mancini, whose side were knocked off top spot by Manchester United's 3-1 win over Queens Park Rangers on Saturday, said City had "lost two points".
"Games here are always hard but today we played well while missing the last pass," he said.
"Last year we lost a good game, this year we took one point. "I am not happy but I prefer this."
