Rodriguez joined Atletico in 2012 from Porto, but struggled to establish himself in Diego Simeone’s starting line-up during last season’s La Liga title-winning campaign.
He started all four of Uruguay’s games at the World Cup in Brazil and has recently been linked with a move to Premier League side Sunderland.
The 28-year-old winger is happy in Madrid, but has acknowledged that his priority is to ensure he is playing regular first-team football during the coming season.
“Every footballer wants to play as much as possible and what I want is a team in which I can have more minutes on the pitch and which has confidence in me,” Rodriguez told Radio Sport 890.
“I have to leave, it’s not that I want to leave. I am very comfortable in Madrid.
“At my age, the best thing is to play more. If I stay another year the same situation is going to get repeated, so my idea is to leave.”