"disapproving eye" is correct and usable in written English.
You can use it when referring to someone looking at something or someone with a negative judgement. For example: "Joe cast a disapproving eye at the mess his children had made."
Hopelessly klutzy, dressed in hideous thrift-shop throwaways, Annie Mary squirms under the disapproving eye of her tyrannical, womanizing father.
But instead of feeling elated, the 27-year-old owner, who had barely been able to make the rent until a few weeks ago, scooped up the discarded martini glasses and cast a disapproving eye on the cheery crowd.
Wadjda's tattered canvas sneakers come under the disapproving eye of her schoolteachers, who caution students against raising their voices too loud lest passing men hear them drift over the school's high walls.
Newport Beach is dropping its attempt to form a port master plan intended to give the city more direct control over some types of development in Newport Harbor after the California Coastal Commission cast a disapproving eye on the proposal.
Some modernist choir stalls, installed 15 years ago, caught his disapproving eye.
A student and I sat reflecting on the dance we had just performed for the school talent show when he asked me, "Nicole, how old are you?" "I'll be thir... .. was as far as I got before a co-worker cut me off and gave the student the disapproving eye.
The mother was an overstuffed, dusty woman with sluggish, disapproving eyes and a faint mustache.
So some savvy café-owners paper over their windows to let the less devout enjoy a cup of coffee or a sandwich away from disapproving eyes.
Sinden exploited his great gift for raking the auditorium with faintly disapproving eyes, while Dench movingly suggested Beatrice's sparkling facade concealed a bruised heart.
It has especially high youth unemployment, and with no leisure activities or bars, young people gather in the fields to drink beer and wine away from their parents' disapproving eyes.
They were tucked away from disapproving eyes, even if it was only for a night; when I tell you people had fun, they had fun.
