nod one's agreement
nod one's approval

She nodded approval to herself; it was the right thing to do.

That's the way the sky should be, he nodded his approval.

When at last no more hands rose, the company commander nodded approval.

Thomas nodded approval and he finally smiled at the boy.

He nodded his approval, and the girl relaxed a little.

At first, the four people across the table sat and listened, sometimes nodding approval.

Somehow she could tell that for once in my life I wasn't trying to be funny, and nodded approval.

After that he nodded approval at each course in turn, and waved it away.

She nodded approval and transmitted the order to the cook.

Wesley stopped and looked toward the security chief, who nodded his approval for the boy to answer that question.