I would say like this, probably:

There is a lot of noise (or commotion) at your end. Can you please speak louder?

At least in the U.S., "at your end" seems more natural than "on your side." We often say things like, "on your end of the phone" (or "on my end of the phone").

In the context of cell phone usage, I might regard a disturbance as poor reception. You've asked about a noisy room, which is why I prefer commotion.

I would say it like this, probably:

There is a lot of noise (or commotion) at your end. Can you please speak louder?

At least in the U.S., "at your end" seems more natural than "on your side." We often say things like, "on your end of the phone" (or "on my end of the phone").

In the context of cell phone usage, I might regard a disturbance as poor reception. You've asked about a noisy room, which is why I prefer commotion.