Carlo Ancelotti's side moved four points clear of Manchester United at the top of the Premier League with a 1-0 win over Bolton on Tuesday.
The victory came just three days after the Blues set up an FA Cup final against Portsmouth by beating Aston Villa 3-0 at Wembley.
Cole, whose contract is up for renewal in the summer, has struggled to establish himself as a first-term regular under Ancelotti, but an impressive end to the season with the Blues could yet see him force his way into Fabio Capello's World Cup squad.
The 28-year-old, though, insists he is concentrating on his club for the time being.
"My focus at the moment is just playing well for Chelsea. I don't like to talk about England because you can't talk yourself into an England squad," said Cole.
"I just want to work hard for my team-mates and whatever happens happens. It's obviously something I'd like to play in but at the moment I'm just concentrating on helping Chelsea win the title.
"I just want to keep playing well. I give everything in every game I play and that's just my nature. I want to work hard for my team-mates and manager and what will be will be."
Cole has been impressed by Ancelotti in his first campaign at Stamford Bridge.
"Ancelotti is a cracking manager," said Cole.
"He's shown in the last few weeks what he's all about with his team selections.
"The boys really get on with him. He has brought in a great camaraderie and we have a team spirit developing again.
"Because of that, wining the double would be a massive achievement for Chelsea, for everyone at the club."
Midfielder Michael Ballack is also out of contract in the summer, but the German instists he is not concerned about his future.
"I am very relaxed about the situation," he told German newspaper Bild. "It also affects other players.
"I want to play at the very highest level of football for the next two years."