Marseille would appear to have an advantage, hosting a mid-table Amiens side with little to play for at the Stade Velodrome, while Lyon take on a Nice team still fighting for Europa League qualification.
The France global produced an ice-cool finish beyond Marseille goalkeeper Steve Mandanda to put Atletico in charge and he started and finished an exquisite move which effectively killed off the French side early in the second half.
"Griezmann today confirmed what he has been doing year by year", Simeone said after the game.
Click through the gallery above to see pictures of Atletico Madrid celebrating after beating Marseille in the Europa League final.
"We were hoping he was close to 100 per cent ready".
"We are not far away in sporting terms from teams who are more powerful than us".
"It is a dream for me to win a title".
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When asked about the transfer speculation after the final against Marseille, Griezmann made it clear he felt this was not the right time to talk about his Atletico future. "Simeone has taught me a lot".
Marseille's fans made the three-hour road trip home regretting what might have been if striker Valere Germain had converted a third-minute chance.
The game carried on regardless, with Rudi Garcia's side well beaten.
Things got worse for Marseille when Payet, their captain and most influential player who had been struggling with a hamstring problem ahead of the game, came off crying just after the half-hour.
Griezmann and Diego Costa will lead Simeone's attack as Atletico returns to Lyon, where it lost 3-0 to Dynamo Kiev in the final of the now defunct Cup Winners' Cup in 1986.