The Atletico Madrid forward tasted glory in the Europa League this season, scoring twice in the final against Marseille, and has signed a new contract with the La Liga side to end speculation he could switch to Barcelona.
The 27-year-old striker is eyeing further success with Atletico in Europe and also wants to end France's 20-year wait for a World Cup title, before finishing his career in MLS.
"World champion, win a Champions League and then I can go and quietly play in the USA. That's my ideal itinerary. It's not bad, is it?" he told Le Figaro.
"If the plan goes like that, I'd sign for that now. I don't know at which age I want to play in MLS, it'll all depend on the trophies I'll have won beforehand.
"When I'm nearer 32 or 33, I want to be there. I still have to be presentable on the pitch."
8 - Antoine Griezmann is involved in 8 goals in his last 5 games in major tournaments with France (World Cup + EURO), scoring 6 goals and delivering 2 assists. MVP. #FRAAUS #WorldCup pic.twitter.com/BO6Rn0Ulud— OptaJean (@OptaJean) June 16, 2018
"Frankly, winning that competition with your country is the best thing possible. I want to finish my career with that trophy in my cabinet," Griezmann added, with France taking on Argentina on Saturday in Kazan.
"It'll perhaps be this time, or the one after in Qatar [in 2022]. But I don't want to finish my life as a footballer without that title among my honours.
"I think about it very often. It's an obsession."