raise an objection
Protest, as in I'll raise no objections to your proposed bill if you promise to support me next time. The use of raise in the sense of “bring up” or “mention” dates from the mid-1600s.
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.