Guardiola's side have lost eight of their past 11 games in all competitions following the devastating 2-1 defeat in the Manchester derby at the Etihad Stadium on Sunday.
Manchester City have won just once in 11 games in all competitions, a run that includes eight defeats.
Enzo Maresca's high-flying Chelsea beat Brentford 2-1 at Stamford Bridge to close to within two points of long-time leaders Liverpool, who have 36 points.
Josko Gvardiol's first-half goal appeared to have won the game for the Premier League champions but Bruno Fernandes levelled from the penalty spot in the 88th minute and the impressive Amad Diallo poked home the winner two minutes later.
Guardiola's side have won once in their last 10 matches in all competitions, sit fourth in the Premier League, eight points behind leaders Liverpool, and are in danger of a humiliating exit from the Champions League.
However, profits dipped from £80.4 million in City's treble-winning 2022-23 campaign to £73.8 million last season.
Manchester City were plunged further into crisis on Wednesday after falling to a 2-0 defeat at Juventus which threatens their chances of reaching the last 16.
The English champions stand accused of 80 breaches of financial rules between 2009 and 2018, plus a further 35 of failing to cooperate with a Premier League investigation.
Manchester City are fourth in the league table on 27 points after 15 games, while Palace are 16th.
Reigning champions City are also involved in a separate independent hearing into the club's alleged breaches of Premier League financial regulations which began in September, with a verdict expected some time before the end of the current season.
Liverpool will head into the international break top of the Premier League after a 1-0 win at Crystal Palace before champions Manchester City and Arsenal both recovered from going behind to claim home wins on Saturday.
Belgium coach Domenico Tedesco named his squad on Friday that will take on Italy and France in the Nations League, with Manchester City star Kevin De Bruyne missing out through injury.
Manchester City cruised to their first win in the Champions League this season with Erling Haaland among the goalscorers in a 4-0 thrashing of Slovan Bratislava that did little justice to the visitors' dominance.
Arsenal wanted to provoke Manchester City into a war during last weekend's Premier League clash but the champions are ready for the challenge, City manager Pep Guardiola said on Friday.
Manchester City midfielder Rodri will miss the rest of the season with a serious knee injury, dealing a huge blow to their hopes of winning a fifth straight Premier League title.
The midfielder has been in Spain this week consulting specialists after limping off midway through the first half of the match at the Etihad Stadium on Sunday after a collision with Thomas Partey.
Rodri's absence could mean a more prominent role for Matheus Nunes and the Portugal international blasted in his first goal since joining City for £53 million a year ago.
But for much of Pep Guardiola's time in charge of City, it was Jurgen Klopp's Liverpool who were consistently their title rivals.
Rodri's loss would be a huge blow to City's hopes of winning a fifth consecutive Premier League title and ambitions of reclaiming the Champions League.
