A 44-year-old woman was attacked after being dragged into a car park in Warwick Road, Old Trafford, at about 03:15 BST on Tuesday.
A man was arrested in the Stretford area and will be questioned by detectives, police said.
Det Insp Carl Gilbert appealed for anyone with information to contact them.
A 44-year-old man has been arrested after a woman was raped in Greater Manchester.