The 28-year-old, who moved to Stamford Bridge from Liverpool for £50m last year, failed to make an instant impact in the Blues' team and was resigned to the bench throughout the season.
The Spain international is now expected to fill Didier Drogba's position following the Ivorian's move to Shanghai Shenhua this summer and managed to score his first goal of the season in Chelsea's 3-2 defeat to Manchester City in the Community Shield on Sunday.
"It was a great finish," Sky Sports News quotes Hazard as saying. "And I know a lot more will come. Fernando is one of the best strikers in the world - quick and powerful and very efficient in front of goal."
Chelsea will begin their Premier League campaign against Wigan Athletic on August 18.