Having made his debut for England against Italy during the week, the left-back is hopeful of making an impact for the Blues in the Premier League on a regular basis
The Champions League holders open their Premier League campaign on Sunday away to Wigan, and despite being second-choice on the left behind Ashley Cole, Bertrand is keen to make an impact.
"Hopefully I'll go on and have a good season,” he told BBC Sport.
"I played 15 games last season, so if I get 20-25 games it will show progress."
Bertrand praised Cole, his rival for the left-back spot, and said that playing with the England international has been a great help for his development.
He added: "He's is one of the best left-backs in the world.
|13/2||Ryan Bertrand is 13/2 to score anytime against Wigan with Bet365|
The Blues made Roberto Di Matteo their full-time manager this summer after he led them to European glory, and the 23-year-old believes it will be of great benefit to the side as they enter the new campaign.
Bertrand said: "His appointment is fantastic for me - to have that same consistency with a manager.
"I'm still a left-back, but I'm more than happy to fill any position where the team needs me."
Bertrand made his debut for England as a 78th minute substitute against Italy on Wednesday, having also made four appearances for Great Britain during the Olympics.