We own a Honda Odyssey and had the front struts replaced and alignment done under warranty about 7,000 miles ago.

After the struts were replaced, we noticed a squeak/chirp when the car was driving over rough road, but not on smooth asphalt.

I thought it was noise coming from the struts, so I had the dealership look at it again to confirm there were no issues they could see.

The car was returned, but the noise persists.

Yesterday, I noticed that if I applied downward pressure on the steering while while driving the noise stopped. Applying upwards pressure caused the noise be reduced. Eliminating the downward/upward pressure caused the noise to return.

Therefore, I believe the noise is coming from the steering column, perhaps something needing a light lubrication or tightening.

Anyone have a guess at what might be causing this? It is incredibly annoying, so I'm hoping I can address it.

Nothing in there that should need lube.
Any trim parts on the column touching the backside of the steering wheel?

Except for the squeak (they usually clunk), this sounds like a steering intermediate shaft. This couples the bottom of the column to the steering gear (rack & pinion). It has a universal joint on each end and a slip joint that allows it to telescope. Any of those could have a bind in them. It should be accessible (but with some difficulty) under the dash.

Thanks for the information, you guys. I'll take a look at what you guys suggested.

Hopefully, I can get this sorted out.

Try adjusting the steering wheel tilt and height in all directions while driving and see if it changes.

I have a car that some of the plastics inside rub when the wheel tilt is set a certain way. Usually more noise when the weather is really hot.