Reports this weekend had suggested that the Turkish and French clubs would make a move for the attacker.
But according to Marca, the capital club will reject all advances for the 26-year-old, who Diego Simeone sees as an integral part of his plans.
Atleti have already lost Radamel Falcao this summer, and the Argentine coach is not keen to lose any more of the players that guided them to a Champions League place last term.
Angel Di Maria has rubbished reports he could leave Real Madrid this summer, insisting he is happy at the club.
The arrival of Isco and the emergence of Jese have thrown the Argentine winger’s future into doubt withTottenham said to be interested.
But the 25-year-old is confident he will stay at Santiago Bernabeu.
“I have three years left on my contract,” he told reporters. “I am staying. I am very happy here.
“I just want to try and start the League campaign in the best way possible.”