The 52-year-old was walking on Featherstall Road near to Whitelees Road, Littleborough at about 22:10 BST on Thursday when he was struck by a silver Mitsubishi Shogun.
The car crashed into a lamppost which went through a house window. No-one in the house was injured.
A "number of men" got out of the car and ran off, police said.
Anyone with information about the incident should contact Greater Manchester Police.
A man is in a critical condition after being knocked down by a hit-and-run driver in Rochdale, said police.