News making rounds has it that Barcelona will pay the buyout clause in Griezmann's contract of 120m euros.
"It's been an incredible five years. Thank you for everything. I wanted to tell the fans who have always given me a lot of love that I have taken the decision to leave, to see other things, to have other challenges."
"The truth is it has been difficult to take this route but it is what I feel I need and I would like to thank all of you for the love you have shown me during these five years."
The Frenchman has scored 133 goals in 256 appearances for Atletico since joining from fellow Spanish outfit Real Sociedad in 2014, winning the Europa League, the Spanish Super Cup and the Uefa Supercup during his time at Atletico and has been the team's top scorer in each of the last five seasons, reports BBC sports.
Griezmann will be the third high-profile player to leave Atletico this summer after defender Lucas Hernandez and long-serving captain Diego Godin announced he would leave, with his contract set to expire.