The Cameroon striker, who moved to Stamford Bridge from Anzhi Makhachkala in August, doubled his tally of Premier League goals last weekend with a match-winning hat-trick against Manchester United.
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"At the moment we are still in practically all the competitions," the 32-year-old told the club's official website.
"If Chelsea are not the best club in the world then they are one of the best clubs in the world, so I don't know if we are going to win everything but the season is going well so far.
"The season is long, and there are a lot of things that could happen, but I hope to score more goals, help my team and then hopefully the season will end well for Chelsea."
Eto'o was delighted with his impact in Sunday's 3-1 win over United.
"I love the big games," he added. "Before the game I spoke with Jose and I told him I wanted to play this game, but it's tough when we have other great strikers like Fernando [Torres] and Demba [Ba].
"It was good to get the opportunity to play and try and help the team win. The first goal took a deflection; the other two were good because I hadn't had much of the ball so I was glad when the opportunities came my way.
"There is a huge difference between English football and the other championships, you almost can't compare it, but I am trying to adapt very quickly."