The Brazil man has bagged three Champions League goals for the Blues, and is confident that he will find the net in the Premier League sooner rather than later.
"I have been a midfielder who is a regular goalscorer and scoring 20 in a season was normal for me," Oscar told the club's official website.
|11/4||Oscar is 11/4 with Bet365 to score anytime against Manchester United
"I know it could be a bit more difficult in England because you are not playing all the time and you play in different positions.
"But I do expect to score many goals for Chelsea and I hope to keep the average of between 10 to 20 goals a season, that would be good."
The former Internacional star was known in his native country for long-range strikes - such as the wonder-goal he scored against Juventus last month.
"The long-distance ones are the most common goals I have scored," Oscar added. "I often try to position myself in the place I was for this last goal against Shakhtar, so that when someone passes the ball I am close enough.
"I do score quite a few like this but because my more usual position is just outside the box, that is where I score most of my goals from."