He spoke only on the condition his name not be used.

She spoke only on the condition that her last name not be used.

He agreed to speak on the condition his last name not be used.

Like others, he spoke only on condition that his full name not be used.

He spoke on condition that his full name not be used.

"I just thought about him all the time," said the woman, who spoke on condition that her name not be used.

The others spoke on the condition they not be identified.

Both people spoke only on the condition that they wouldn't be named.

All the officials spoke on the condition that they not be named.

The official spoke on the condition he not be named.