He declared: "People say they did not deserve it but when it's your year, it's your year.
Fabregas also said Chelsea's success highlighted the strength of the Premier League.
"Chelsea had some luck but all the teams that win it need that, and you can only congratulate them," he added.
"It says a lot for the Premier League that they have five or six teams that can beat anyone in the world, and next year it will be even worse. It will be tough for the rest."