The club have been under investigation by Federation Internationale de Football Association, the Premier League, the FA and UEFA since March, as allegations that the club have breached FFP regulations in their pursuit of dominance reach fever pitch.
According to the report, officials at UEFA and the Premier League have for months been investigating City's financial dealings after a slew of leaks claiming the club had broken Financial Fair Play regulations.
City were successful in their pursuit of a second successive Premier League title on Sunday, beating Brighton and Hove Albion 4-1 to finish one point ahead of second-placed Liverpool, who defeated Wolverhampton Wanderers 2-0 at Anfield.
Their statement, published by the Daily Mail, said: "Manchester City FC is fully cooperating in good faith with the CFCB IC's ongoing investigation".
"The accusation of financial irregularities are entirely false", City said in a statement earlier this year.
"The implications are that either Manchester City's good faith in the CFCB IC is misplaced or the CFCB IC process is being misrepresented by individuals intent on damaging the club's reputation and its commercial interests".
"I say congratulations to Manchester City and we will fight again next season for this trophy".
In January, former Belgian Prime Minister Leterme told Sport and Strategy magazine in his homeland that City should face a competition ban, if claims the club topped up multi-million pound sponsorship deals with Abu Dhabi companies using the personal fortune of owner Sheikh Mansour were proved to be true.
The Premier League has finally come to a close with the clubs now taking a breather after another insane season.
However, they add: "It is unclear if UEFA would instead give City's spot to another domestic competition".