Chelsea had expected to sign the striker before the World Cup but there has been no announcement yet and matters were put on hold as he linked up with his country on international duty in Brazil.
Spain have been knocked out of the tournament after losing their opening two group games and speculation is mounting about an imminent move to Stamford Bridge.
However, Costa is now preparing for La Roja's last game at the tournament against Australia and his club future is still not at the forefront of his mind.
"At the moment I am not paying attention to it because I am thinking about the World Cup, but it is clear that my future lies more with Chelsea than with Atletico Madrid," he is quoted as saying by Sport.
"Atletico has been my home, my life and I have great feelings towards the club, but things happen in life and one has to accept them.
"I do not know what the situation is because I have not been involved in all that.
"I have asked everyone to leave me alone now because I just want to do the best I can [at the World Cup] and to be with the national team.
"Now I will have to speak to my family because this year has been so good but also very hard in some aspects.”
Costa is grateful to Atletico for everything they have done for him, having been at the club since 2010, but he says his decision has been influenced by what is best for his family.
He said: "My future is put to one side for the moment, but there are situations in life that one has to take advantage to improve your life and that of your family.
"Atleti has been my whole life and I think that after all this time that I have fought to have a place there I have succeeded.
"I intend to do things in the best way possible and thanks to them I have won a place with the national team and to wear the Spain shirt."