The 28-year-old, who scored the decisive goal as the Blues came from 3-1 down to advance past Paris Saint-Germain in the Champions League quarter-finals on Tuesday night, has started just three matches in all competitions this season.
Ba still has over two years remaining on his contract at Stamford Bridge, but he hopes to move on this summer and is keen on a switch to PSG.
He is quoted by The People as saying: "I'm looking to leave Chelsea. I want to play the full 90 minutes, get the maximum number of games and enjoy myself. I've not done that very much this season, and I doubt things will change for me here.
"I could well imagine myself at PSG. That is even though they have taken on a new dimension, and seem to be looking for international stars in the £50million bracket rather than steady performers costing £10m.
"But if PSG are looking for someone to play alongside Zlatan [Ibrahimovic], then I'm their man. They will win the Champions League sooner or later, and not just the one time. Jose Mourinho has never explained his decisions to me. I am honestly surprised that I have been this patient. Earlier in my career I would have cracked up or blown a fuse. My friends Eden Hazard and Samuel Eto'o have been important. They told me not to give up."
Ba has found the net 12 times in 45 appearances since joining Chelsea in January 2013. 25 of those appearances have been as a substitute.