The phrase "neglected himself" is correct and can be used in written English.
It means that someone has not taken care of their own needs or well-being. Example: After his wife passed away, John neglected himself and refused to leave the house or eat properly.
Gray's current and long-suffering wife, Morag McAlpine, Glass fairly reports, "sees faults where others see only the Gray-who-can-do-no-wrong". Pride of place in the personal comments, though, goes to Rosemary Hobsbaum's remark on Gray's eczema: "You used to have to take a Hoover to the floor when he left the room: he neglected himself".
He neglected himself, after a race he just let go.
In handing out incentives, Stronach has not neglected himself.
He never neglected his brother, he said, but he began to neglect himself.
When Dafoe was locked in that dark closet, he wasn't so much neglected as mastering himself.
In a clustering miscalculation, however, Ferriss had neglected to seat himself with a view of the restaurant's doorway, so that I entered and was seated without him noticing, and spotted him before he saw me.
Now a middle-aged barrister and recovering from his addictions, he is a father himself, neglected by a wife consumed by motherhood, and battling with a mother determined to disinherit him in favour of a sharp eyed Irishman with a New Age foundation to run.
Where the A.I.O., in the monotony of his neglected existence, had recast himself as a knight of derring-do, Arthur had recast himself as a victim of his own witch hunt.
Although he latterly regarded himself as neglected and abandoned his beloved Long Island home for Palm Beach in the interests of his health, Horst continued to be well-represented with exhibitions focused on such specific aspects of his more recent work as Colour As Form and Nudes.
He himself admits that such a treatise is almost universally neglected by philosophers, and feels himself constrained to justify such a study, which he undertakes with an almost inevitable admixture of religious and theological elements.
Blair, not surprisingly, felt himself eclipsed and neglected after the arrival of Rudolf Nureyev to Covent Garden in 1962, and died in 1976 at the age of 43.
