"Conte has sent me a message to tell me I am not in his plans for Chelsea," Costa told reporters after Spain's 2-2 draw against Colombia on Wednesday.
"My relationship with the coach has been bad this season. It's a shame, but it's clear that the coach does not count on me and he does not want me there."
Costa, who was at Spanish side Atletico Madrid from 2010-14, wants a move back to the La Liga club but would have to wait for their transfer ban to end next January.
His hopes of playing for Spain in next year's World Cup in Russia would also depend on getting regular playing time.
"Being five months without playing? I do not know, it's complicated, but people know that I love Atletico a lot and that I love to live in Madrid," Costa added.
"It would be nice to go back, but it's difficult to be four or five months without playing. It's a World Cup year and there are many things to think about. I need to play, just that."
High-scoring Everton striker Romelu Lukaku has been linked with his former club Chelsea after the Belgian said he had decided where he wants to move ahead of the next season and had reached an agreement with another club.
(Reporting by Aditi Prakash in Bengaluru; editing by Sudipto Ganguly)
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