"cast a glance at" is correct and usable in written English.
You can use it to describe a quick, brief look at something. For example, "She quickly cast a glance at the clock before running out of the room."
She cast a glance at the laundry strewn about the rehearsal room floor.
He cast a glance at the site where the remnants of the monarchy were executed a day earlier.
He strutted into the room in a double-breasted suit and cast a glance at the dozen or so people who had been waiting hours.
He cast a glance at Randy M. Mastro, a former deputy mayor who is a member of Hale House's board of directors.
Over here we appear to have opposing parties: cast a glance at Westminster and you'd swear they were at each other's throats.
He has elected to cast a glance at Iraq while summarizing the disparate strands of his narrative without ever really knitting them together.
Casting a glance at the Greek side, he added: "Maybe in other terminals, people work less.
"My mother," Mr. Wylie said, casting a glance at Mr. Goulian in a sarong-length gray skirt.
"It's a terrible habit," he said, without casting a glance at his fingers as he made his way through Midtown Manhattan on a recent afternoon.
When pondering Iraq or wherever else it's worth casting a glance at successful multi-national polities like Canada and Spain and recognizing just how contentious these questions remain.
He and Ms. Roberts know she's expecting a boy, but they are not saying what name they have picked, "because people weigh in," Ms. Roberts said, casting a glance at her mother-in-law.
