In documents submitted by CNN on Friday, Singleton's daughter Cleopatra Singleton objected to Wall's plea and said her father was "not in a coma," Ward claimed.
"Although they have no specific diagnosis, my dad makes progress every day … he is only medically anesthetized to keep his blood pressure low and to heal the vessels in his brain," notes Cleopatra Singleton's filing.
She also claims in her file that the filmmaker responded to stimuli and that a doctor said the filmmaker could leave the ICU in five days.
Cleopatra Singleton also opposes the appointment of her grandmother and cites a conflict of interest because Ward is the "personal and business manager of her father," according to the documents.
Ward claimed on Thursday that Singleton "could not currently provide for his personal needs" or "manage his financial resources," according to court documents audited by CNN.
A representative of Singleton has not returned CNN's request for comment.
Singleton's family had previously confirmed that he had suffered a stroke on April 1
Singleton, 51, was the first black filmmaker to be nominated for the Oscar for Best Director, is known for films such as "Boyz n the Hood" and "Poetic Justice."
A show he co-designed for the FX Network, "Snowfall," was renewed for a new generation third season last year.