The Argentine’s 97th, 98th and 99th City goals lit up a superb display from Pellegrini’s side, whose unbeaten run stretched to five games.
The Chilean hailed the team’s all-round display in what he labelled a key match in City’s race to secure a top-four finish.
“I’m very satisfied. The team played very well in attack and defence,” he said.
“We knew before the game it would be difficult here but we also wanted revenge for the FA Cup game that we had to play a young team, and they beat us.
“It was a complete game and a very important three points in the Premier League because we want to finish as near to the top of the table as we can.”
Aguero’s ruthlessness in front of goal secured the emphatic win and the manager believes there is no better striker in the Premier League.
“Sergio makes the difference when he’s playing every game, every week. He is a very important player,” he declared.
“I am sure he is the best striker in this league.”
City face Newcastle and Stoke before welcoming Real Madrid to the Etihad Stadium, and Pellegrini has challenged his side to continue building momentum before the pivotal tie.
He said: “The best way to arrive at a semi-final is when you are winning games, and to not only win but to win the way we did here because it was a complete performance with and without the ball.
“The most important thing is to keep focusing on the league as we need to play for six more Premier League points before the semi-final.”
