The 22-year-old made his debut for England in November's 1-0 win against Sweden at Wembley Stadium.
When asked by Chelsea's official website if he would like to take part, Sturridge said: "Definitely, without a doubt. It's the type of opportunity that only comes along once in a lifetime.
"It's the first time Great Britain have had a team competing in the football tournament and obviously we are the home nation, so it would be a chance to make history.
"My focus for this summer is on the European Championships but generally speaking, the Olympics is a great event."
Sturridge has scored ten goals in all competitions for the Blues this season.