User permissions to Update product Channel listing

Hi, I'm looking for a way to limit users ability to click the 'Update' link in a product's Channels tab, for a specific listing.

We've had some issues overwriting existing shopify listings when only trying to update item quantity (which should be done in the catalog section of the specific integration).

I can't seem to find a correlating permission that we can limit/grant access to.

Is this possible? 

Thank you!!