With the Override feature in the Buybox you can set a market-specific price independently per country for your offer. When override is on, you override the reference price for that offer in that specific market - the market price is de-coupled from the reference price, so you can do country-specific pricing (including editing Price and Min Price for that row/market). When the override is off any market-specific override is removed and the market price reverts back to the reference price you set for the offer.
If an offer is out of stock (stock = 0), the override setting remains active in the system, but the offer will have visibility: “none" and won't appear or compete for the Buybox. When you restock the offer, it automatically goes live again with the previously configured override settings (including any market-specific Min Price you had set) still in place.