Toure has been one of City's standout performers this season and netted his fifth goal in seven matches in the 5-0 Capital One Cup victory over Wigan.
It was the Ivory Coast international's third goal direct from a set-piece this season and Pellegrini believes Toure's form is an indication that his players are buying into his managerial philosophy.
"He is a very important player for the team," said Pellegrini. "I don't know what happened last year but all the players are playing with trust and a goal always give them trust. I think it is very important.
"We are always practising. Yaya stays normally, kicking the ball after we finish the daily work.
"He is really in a good moment - also it is not normal for someone always [to be] scoring free-kicks."
City's demolition of Wigan saw Montenegro striker Stevan Jovetic score his first two goals for the club.
The £24m signing from Fiorentina said he hopes to put his early injury problems behind him so that he can prove his worth to the team.
"I am so happy for this victory and my goals," he said. "The team played very good. For my first goal Micah Richards did everything and I just put the ball in the goal.
"I am so happy and I hope we are going to continue this way. I feel very well here, from my first day they accepted me very well.
"It was a bit difficult for me because I came last and I was injured. When they played the first games I was doing preparation.
"Now I feel much better and I hope playing more I am going to show much more."