Ba has been a bit-part player for the Blues under Jose Mourinho, with the Stamford Bridge boss preferring either Fernando Torres or Samuel Eto'o in a lone striking role, with the Portuguese coach bemoaning his lack of optins.
The Senegal international, who has made more substitute appearances than Premier League starts after his £7million move from Newcastle in January 2013, now appears keen to depart for pastures new.
Ba helped Chelsea reach the UEFA Champions League semi-finals in midweek when he stepped off the bench to score a late goal against Paris St-Germain, and admits he would welcome a move to the big-spending Ligue 1 club.
He is quoted as saying by the Sunday People: "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.
"But Chelsea are at the top of the pyramid. If I leave them I mustn't make a mistake."