The Multi Channel Fulfillment program (MCF) is an Amazon program. Keep in mind that when you sell your FBA products on another channel like Shopify, you are no longer using the traditional FBA program with Amazon. When you sell your FBA products on another channel, Amazon no longer collects a referral fee from your sells!
This also means Amazon is not making as much money off of your Shopify orders, so they will take away certain perks. For example: Shopify customers will not receive Prime free shipping on your Shopify site! Also, with the Multi Channel Fulfillment Amazon program, Amazon will not ship your products outside of the country that the products are stored in. This is an Amazon rule, not ours.
For example, products that are stored in the US can only be shipped inside of the US. This is the same for Mexico, Canada, Australia, Japan, and the United Kingdom. The only location that is different is Europe. If you have products stored in either France, Spain, Italy, or Germany you actually are able to ship to the following locations. Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Poland, Portugal, Romania, Slovakia, Spain, and Swede.
Here is an Amazon webpage where you can learn more about the MCF program: Amazon’s Multi Channel Fulfillment Program
And if you click on the picture below you will be sent to an Amazon webpage that goes over Amazon MCF Shipping pricing options. If you choose to use the ‘Live Rates’ inside of our app, we contact Amazon in real time and ask them to provide your Shopify customers with real time MCF shipping cost and time frames! Click the photo below to see more info on MCF pricing and what you can expect for your customers on Shopify!

If you would like to find specific MCF shipping costs, options, and timeframes for a specific product on your account. you can check the Amazon MCF shipping cost directly through Amazon Seller Central by following these steps. I suggest doing the below.
The point of the process below is not to actually place a MCF order, but to at least receive shipping costs for MCF.
This will show you a good idea per SKU what the MCF shipping costs can be! Along with the shipping options (Standard/Expedited/Priority) and timeframes. Keep in mind this can and will fluctuate depending on Amazon logistics, backlog, etc.
For a detailed breakdown of FBA Multi Channel Fulfillment fees, including specific pricing and examples, be sure to visit our dedicated page on this topic!
Amazon Multi Channel Fulfillment (MCF) is a program that enables sellers to fulfill orders from multiple sales channels using Amazon’s fulfillment network.
Unlike traditional FBA, Amazon MCF does not charge referral fees and does not offer Prime benefits for sales made outside of Amazon’s marketplace.