The 28-year-old scored against Birmingham on his home debut on Sunday and is determined to help them win back the Premier League title from Manchester United, although European glory is also on his mind.
"I think this team has lots of potential to win trophies and I want as many as possible," said the Peru captain.
"Obviously the most important things are the Premier League and the Champions League. Winning the Champions League is one of my ambitions and I couldn't do it at Bayern.
"We have lots of good players at Chelsea and we have a really good chance of winning it."