But Arsenal’s hopes of a comeback were swiftly extinguished when Hazard and Giroud teamed up for a one-two which ended with Hazard knocking the striker’s flicked cross past goalkeeper Petr Cech.
The victory means England stay with four teams in the European Champions League next season, with champions Manchester City, Liverpool, Tottenham Hotspur and already-qualified Chelsea.
It looks like the win was also Real Madrid target Hazard’s final game for the Blues.
‘‘We will decide in a few days and the only target in my mind was to win this final. I have made my decision already and now I’m waiting on both clubs. I think it is a goodbye, but in football you never know,’’ Hazard said.
‘‘My dream was to play in the Premier League and I have done that for one of the biggest clubs so maybe now it is the time for a new challenge.’’
Hazard has made 352 appearances for Chelsea since joining from Lille, scoring 110 goals and winning two English Premier League titles, an FA Cup, a League Cup and two Europa League titles.
Arsenal go into the Europa League again next season, along with Manchester United and Wolverhampton Wanderers.
The Gunners are still chasing a first European trophy since the 1994 edition of the now-defunct Cup Winners’ Cup.