To close one eye while keeping the other eye open is known as a wink. Winking happens for a variety of reasons. It usually involves a joke or when a person is kidding another person.
The woman onstage winked at the audience.
She winked at them.
As the doctor entered the room, he winked at his patient.
He gave his patient a wink. (In this sentence, "wink" is a noun.)
A person might also wink at someone he or she is attracted to.
Sandra winked at John. She really likes him, and she hopes he’ll ask her out on a date.
Brad gave the woman across the room a wink.
"Someday I’ll be the owner of this company and I’ll give everyone a big raise," Sandra said while winking at a coworker.