Kompany has copped pelters after a disappointing season.
"It's funny," he told City's website. "I don't like to get involved in this, but sometimes I do question the integrity of a journalist who would write this. Based on what information does the guy come out with this?
"I never have a problem with performances being tagged down or up. People have the right to have opinions about that, but the stories are based on things that I can't even relate to, and I am in this team.
"I can only say I would put in doubt the integrity of any journalist who comes out with this. As much as I set out in my career to be the best footballer, I would expect journalists to want to tell the truth, and do the job for that reason."