The Turkish international is highly regarded around Europe, with a number of clubs said to have been given encouragement in their pursuit of the versatile attacker.
"Arda is very happy at Atletico and his aim is to see out the entirety of his contract," Ahmed Bulut told AS.
"He still has this season and another two left on his deal – he's very comfortable at the club, but it's true that football is an unpredictable world. However, at this time, there is no possibility for him to leave Atletico."
Turan will return to Atletico this week after representing his country during the recent international break.