A 1-0 win over fellow Champions League hopefuls Liverpool on Sunday kept Chelsea's hopes alive with two games of their season remaining, although they must still win both of their matches and hope other results go their way.
Liverpool will be effectively guaranteed a top-four spot with victory in their final game of the season against Brighton & Hove Albion, while Tottenham Hotspur will also clinch a place in the next season's Champions League if they are victorious against Newcastle United and Leicester City this week.
"It is not in our hands. It does not only depend on us but we will play, we will hopefully win, and then we will see the results of Tottenham and Liverpool and we will give everything," Hazard told Chelsea TV.
"Beating Liverpool was a massive result. Now the target is just to win and be in the top four at the end of the season, and if we play like this the last three games, we can have something special at the end of the season.
"Let's hope for something big. We all work together and when we play this kind of game, it is a good feeling after the game."
Chelsea will host Huddersfield Town on Wednesday before taking on Newcastle United at St James' Park on the final day.