Chelsea have yet to comment on Costa’s situation and claims he is not wanted, but the striker continues to voice his opinion while on international duty with Spain.
Costa claimed last week that Conte had informed him in a text message that he was not part of the Italian’s plans going forward at Stamford Bridge.
The 28-year-old has now ruled out any chance of moving to the Far East as he does not want to jeopardise his World Cup hopes, but he also concedes that trying to stay and fight for a starting place at Chelsea – with whom he has a contract until 2019 – is a waste of time.
He told the Spanish media after scoring in Spain’s 2-1 World Cup qualifying win over Macedonia: “Things don’t work like that. The fight for a place has to be fair.
“When there is a fair fight you stay and fight but if there isn’t then you have to go.”
Chelsea have been linked with a move for former striker Romelu Lukaku from Everton and Costa accepts that Conte might want to move him on in order to bring in a new first-choice centre-forward.
However, he also suggested that things could have been handled differently.
Costa said: “You need to ask Conte what has happened, he’s the coach and if he has the option of signing someone else and doesn’t want to have problems with a senior player then that’s normal.
“But there are ways of saying things, ways of doing things. Thanks to God I’m not lacking teams (to join). If Chelsea don’t want me I will choose the best option for me.”