The Chinese outfit remains adamant that the striker has an ongoing contract, and has urged the Chinese Football Association not to release the player's transfer certificate.
The 34-year-old Drogba was set to continue his career at the Istanbul powerhouse after signing an 18-month deal with Galatasaray in the January transfer window; however, Shanghai Shenhua has contested the transfer as it claims Drogba is still under contract with the Chinese side.
The attacker's Turkish representative stated earlier this week that Drogba had rescinded his contract due to Shanghai's failure to pay him for three months, but Shenhua is adamant that it fulfilled all of its obligations.
The Shanghai side has provided the Chinese Football Association (CFA) with the necessary papers to prove that it did pay Drogba all the wages owed, and it has urged the CFA not to release the player's international transfer certificate.
Drogba would not be eligible for Galatasaray in official games if the CFA does not provide the Turkish giant with the ITC. The former Chelsea star is currently on international duty with Cote d'Ivoire, which faces Nigeria in an Africa Cup of Nations quarterfinal on Sunday.