City remained hot on the heels of Premier League leaders Arsenal with a 4-2 victory at the Etihad Stadium.
However, there were some nervous moments, particularly when Craig Noone levelled for the Welsh club just before the half-hour mark.
City had 24 shots over the course of 90 minutes, but only managed to get nine on target.
"I don't think the scoreline reflects the match," Pellegrini told Sky Sports.
"We did fantastically first half. We had at least four great chances to score but we only went in at 2-1.
"In the second half, Cardiff had some good shots on goal and scored at the end from the corner. Really, it was a game where we missed so many chances - but the team played very well in the first half."
Pellegrini is understandably thrilled with his side's impressive goal tally, with Edin Dzeko's opener taking them past the 100-goal milestone for the season so far.
"To score 103 goals at this moment of the season reflects what the team wants," added Pellegrini.
"We have a clear style of play and we hope to continue that way in the future."
Pellegrini was also asked to name his best strike partnership, with Dzeko, Alvaro Negredo and Sergio Aguero all trying to impress him ahead of next month's Champions League last-16 showdown against Barcelona.
"I don't have that problem at the moment!" laughed the Chilean.
"It's important for Kun Aguero to return to 100% fitness. He played 30 minutes today, the other day he played 20 minutes... maybe on Tuesday (at West Ham), he will play for an hour.
"It's important to have all three of them playing well at this moment."
Pellegrini did not sound too perturbed at his side's defensive lapses, adding: "Maybe one goal you can concede, but if we can play like we did in the first half we will be doing very well."