The Georgia winger hasn't hit the heights of the second-half of last season.
And amid accusations of some PSG players being "selfish", the finger is being pointed at Kvaratskhelia.
Teammate Ousmane Dembele said last week: "Last year we thought of the club first and ourselves second. I think we need to rediscover that, especially in these matches; we're in the second half of the season.
"PSG has to come first, not the individuals. We have to play for the club before we play for ourselves."
L'Equipe says Kvaratskhelia is likely to be among those who feel targeted.
It's suggested some teammates are annoyed by the winger's "individual decisions". This likely refers to the Georgian currently focusing more on shining on a personal level than on helping the team.
Indeed, while there isn't yet a full-blown Kvara problem in the PSG dressing room, the resentment continues to simmer.