The French striker opened the scoring early in the second half against his former club with a superb header.
Pedro doubled Chelseas lead before Eden Hazard sent Petr Cech the wrong way from the penalty spot.
Alex Iwobi scored an excellent long-range goal to hand Arsenal a glimmer of hope but Hazard netted his second of the game to seal Chelseas 4-1 win.
Giroud did not hesitate when celebrating against his former club but the striker aimed a clear dig at his former club during the celebrations on the team bus after the game.
In Jorginhos live video published on Instagram, Giroud could be seen holding the Europa League trophy and shouted towards the camera: Thank you, Arsenal!
— The Blues (@TheBlues___) May 30, 2019
Speaking after the match, Giroud paid tribute to Arsenal and claimed the club had changed his life.
It was a good final and we have been better, more efficient in the second half, said Giroud.
I am very proud, this team deserved to win something. It was special for me, I am happy for this club. Its my second trophy in two years.