Here is the way we used to prepare goose breast before I retired and had time to hunt and fish!
Breast out the bird,
Rinse breast well to get all them little feathers off,
Cut out any blood clots and remove anything that does not look like good red meat,
Lay breasts on cutting board going the long way from east to west,
Cut in thin slices from north to south,
(This next step is optional)
-Put a little flour in a zip-lock and toss in breast slices and toss about until well coated-
(They are good whether you flour them or not.)
Heat skillet over high heat and keep on high during cooking,
Toss in enough butter to coat the pan and to be absorbed by the breasts.
The butter should melt quickly so be ready to toss in the breast slices,
Add the slices of meat to the pan,
Salt and pepper each slice while cooking,
After about 1 minute, flip the slices and salt and pepper the other side,
After another minute remove and add remaining slices and do the same with them, add butter if needed,
This quick-fry method will produce a slice of meat that is very tender and just a bit over medium-rare,
When all slices are done, reduce heat and add a splash of your favorite drinking wine to deglaze the pan and make a sauce to pour over the breast slices, ( I don't care for red wine but it works very well for this purpose)
Use a non-metal spoon or flipper to help get all the browned pieces off the bottom of the pan and float in the wine,
Continue reducing the wine until the sauce has thickened a bit and the brown bits have dissolved a bit. If you floured the breast slices, you will have a thicker sauce too,
When done, pour over the breast and serve immediately.
You can add a bit of onion or garlic to the pan during the cooking but myself and my hunting buddies preferred the taste of the goose breast just as they are.
This goes great with some wild rice and if you save a bit of the sauce, you can pour it over the rice to moisten it and flavor it just before serving.