The Ligue 1 side saw midfield star Mathieu Valbuena depart this summer for Dinamo Moscow and were unable to invest significantly in their own squad, with defensive rising star Doria and midfielder Abdelaziz Barrada among their most high-profile purchases.
New boss Bielsa has now accused club president Vicent Labrune of making promises that he could not keep prior to his arrival at Stade Velodrome earlier this year.
"The result of this transfer market is a negative one," he told a press conference.
"I think the president made me promises that he knew he would not be able to keep.
"If all this had been said to me sincerely, I would have accepted it. As it is, I feel a sense of rebellion."
Marseille have won two of their first four Ligue 1 games of the new season.