But uncertainty surrounding his future continues to cloud over Costa following strong interest from China in the January transfer window.
Earlier this week the 28-year-old admitted that he tried to force through a move back to Atletico Madrid in the summer.
Diego Costa refused to rule out a potential move to Ligue 1
Costa admitted earlier this week that he tried everything to push through a move to Atletico
Costa's candid admission could risk angering Antonio Conte who was involved with a training ground bust-up with the striker at the start of the year.
And the Spain international has left the door open to a possible move to Ligue 1 while praising some of the top clubs in France.
"Marseille have constructed a nice project," Costa told Telefoot.
Costa admitted he has a lot of respect for PSG
Diego Costa snapped training on his own at Chelsea
Mon, January 16, 2017
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Diego Costa has been pictured training on his own
"PSG, we know, are respected in Europe. Monaco also have a wonderful project and have some great players.
"Ligue 1 is developing. I am very happy at Chelsea but anything can happen in football.
"If I need to make a change, France is a country where I have never played. So why not?”