Hazard scored the only goal of the game at Wembley as Chelsea won their eighth FA Cup, ending an otherwise disappointing campaign on a high note.
The future of the Belgian winger has been the subject of growing debate in recent weeks after Chelsea only managed a fifth-place finish in the Premier League, but he insists that he is determined to enjoy his side's success before making any decisions regarding a next move.
"Now I am just happy. To see the fans celebrate is something we like. We didn't have a great season but at least we finish with a trophy," Hazard told BBC Sport when questioned over his future.
"We tried to defend well. We kept a clean sheet, we scored one goal, it is enough today but if we want to win a lot of games we need to play better because we had to play defensively."
Hazard recently admitted that he was waiting for the club to bring in some new players before deciding on his future.