Fans even erected a tombstone at the Bulgarska Armiya stadium with a cross and an inscription of the company's name - Titan.
The pitch was repaired on Wednesday but a photograph of the grave circulated on internet forums and social media, accompanied by a caption "Five years is enough. Titan means shame".
CSKA, who have won the domestic league title a record 31 times, reached European semi-finals three times between 1967 and 1989 but have experienced serious financial troubles recently.
Last September, the Reds escaped a three-year European ban from UEFA over their debts.