"lodging a protest" is correct and usable in written English.
You can use it whenever you are referring to taking action to express disapproval or frustration. For example, "The citizens of the town were so angry at the increase in taxes that they decided to lodge a protest in front of city hall."
Senior people think the numbers are galvanising enough to make voters think twice about lodging a protest vote.
So incensed was I that I considered sitting through an entire school board meeting awake, and lodging a protest at the end.
Nasir said Indonesia would consider further action if the claim was proven true, including lodging a protest note with Australia or summoning its diplomats in Jakarta.
The Japanese were the favorites to win the team gold medal but fell short by 4.045 points, eking out a second-place finish only after lodging a protest regarding the meet's last performance.
Immediately after Juarez's loss, Gary Toney, the American team leader, said that he was lodging a protest of the defeat and that he was going ask that the referee of the bout, Stanislav Kirsanov of Russia, be suspended.
Ralph Napierski is a self-appointed bishop of a made-up church who claimed to be lodging a protest about child abuse, but his 15 seconds of fame didn't offer much of a platform.
The Philippines Department of Foreign Affairs said in a statement on Wednesday that it had lodged a protest to China over a month ago about Chinese plans to reclaim the land.
The Australian Embassy in Jakarta lodged a protest.
Valheru almost sank, and each boat lodged a protest.
Brazil summoned the United States ambassador to lodge a protest.
Mr. Gemba had already lodged a protest with Beijing over the entry by the Chinese ships.
