Yes, the eyes should be dark brown.
From the FCI standard: The dark eyes are neither too small, nor are they protruding or deep set. Their expression conveys energy and intelligence and must not be threatening or hard. The eye-rims must be dark.
The American standard: Dark brown in color, not too small, too protruding or too deep-set. Their mood-mirroring character combined with the wrinkling of the forehead, gives the Boxer head its unique quality of expressiveness.
The UK standard: Dark brown, forward looking, not too small, protruding or deeply set, showing lively intelligent expression, Dark rims with good pigmentation showing no haw.
The Canadian standard: The dark brown eyes, not too small, protruding or deep-set and encircled by dark hair, should impart an alert, intelligent expression.
The Australian standard: The eyes should be dark brown; not too small or protruding; not deep set. They should disclose an expression of energy and intelligence, but should never appear gloomy, threatening or piercing. The eyes must have a dark rim.
The New Zealand standard: The eyes should be dark brown; not too small or protruding; not deep set. They should disclose an expression of energy and intelligence, but should never appear gloomy, threatening or piercing. The eyes must have a dark rim.
Sooo - dark brown, neither small nor protruding and most of the standards around the world call for pigmented haws (meaning they would penalise a dog with unpigmented haws).