The phrase "suffering man" is correct and usable in written English.
You could use it to describe someone who is struggling with a difficult situation or has been through traumatic experiences. For example: "The doctor had seen too many suffering men to be unaffected by their plight."
Damon's hero was a vividly suffering man.
Here is a suffering man who wants an answer to his question.
Smith's Newton is a demon, a dragon, a lost soul, a self-styled freak and a desperately suffering man.
The two spin around each other throughout history — the remote Pantocrator of Byzantium giving way to the suffering man of the Renaissance, and on and on.
She doesn't know that he's a British agent putting on a performance as a derelict; she responds to him as a suffering man.
The heavy-lidded Del Toro, who is sleepy-looking at the best of times, plays Jimmy as a quiet, suffering man who has retreated deep within himself.
As we strike military targets we will also drop food, medicine and supplies to the starving and suffering men and women and children of Afghanistan.
What about the willful neglect of silent, suffering men whose scrambled brains have turned against them?
Michelangelo chooses a crowded composition, depicting a dramatic mass of suffering men, women and writhing snakes, separated from redeemed worshipers by the snake before an epiphanic light.
S. Millett Thompson, of the 13th New Hampshire Volunteer Infantry, reported that "the bands are forbidden to play pathetic or plaintive tunes, such as Home, Sweet Home… Auld Lang Syne, etc., lest they serve to dispirit, and unnerve our suffering men".
A paramedic sits in front of a small hill of medicines looking for the right cold drug for the suffering men.
