Second-half goals from Aleksandar Kolarov and Samir Nasri handed City a 2-0 victory over a battling Everton side, taking them to three wins from their opening three games.
City have set the early title pace in the Premier League ahead of their challengers, but Pellegrini is refusing to get carried away by the scintillating form of his side. City have now won nine top-flight games in succession.
“I think that was a very professional performance,” the Chilean told Sky Sports. “We play against a very difficult team here at Goodison Park.
“I think we were very consistent and a solid team. We had more chances to score goals than Everton.
“We scored two goals, again we keep a clean sheet so I think we are working very well.”
He added: “The Premier League, when you play away, is always tough.
“That’s why we analyse what happened last season – I always said it was not a disaster that we finished in second place.
“But we were not consistent during the whole year – we lost many points teams that were in the relegation positions.”
Pellegrini also spoke highly of Raheem Sterling, who assisted Kolarov’s opening goal and generally looked a threat throughout against the bitter enemy of his former club, Liverpool.
“I said when he arrived here that he is a different player to what we had last year; a player with his characteristics.
“He’s very important in one on ones in the box, and he made a very important play for Alex (Kolarov) to finish it very well.”
Talking to BBC Sport, Pellegrini added: “We have different pace with Sterling. It’s a different way to play. It’s important to have different things to do during the game.
“It’s important to have a good squad because we play so many games in a season.
“It’s very important to understand that we are just starting the season and we’ve played just three games,” he said to Sky Sports, with City set to find out their Champions League group in Thursday’s draw.
“After Watford we are going to start playing eight games every month, so it’s very important to have the squad involved.”