Officers found Jia Li Huang, 63, in a property in Atkinson Road, Urmston, at about 12:30 BST on Monday after being called to reports of an injured woman.
The woman had suffered head injuries and was taken to hospital.
Lorand-Sebastian Zdarcea, 35, of no fixed abode, was remanded in custody on charges of murder and attempted murder by Manchester Magistrates Court.
He is due to appear at Manchester Crown Court on Thursday.
A man has been charged with murder over the death of a man whose body was found by police in Greater Manchester.