raise an objection (to someone or something)
To make one's opposition to or disapproval of someone or something known or heard. Her parents raised an objection to the wedding because of her fiancé's reputation. We won't raise any objections, so long as it's understood that your firm will be covering all the applicable fees.
raise (an) objection (to someone or something)
to mention an objection about someone or something. I hope your family won't raise an objection to my staying for dinner. I'm certain no one will raise an objection. We are delighted to have you.