While Listing Mirror can import your pricing from Amazon and push it to other non-Amazon channels, we can also send your Listing Mirror Price to Amazon, while still sending that price to non-Amazon channels.
To set this up, you'll go to your Integrations>Channel Integrations for Amazon. On the General tab, you'll see the pricing options:
In order to sync Listing Mirror's price to Amazon, you'll want to have Price sync to market (in green) enabled, and Update price (in red) disabled.
Save changes and you're all set!
If you have any questions on how syncing price to Amazon works, please reach out to support!