The instructions for seasoning my carbon steel pan that I bought ages ago have worked better for me than any other method, fit both carbon steel and cast iron.
Just fry up a full pan of very heavily salted potato peels. Use more oil and a lot more salt than you would normally use for pan frying. Make sure to move them around, don't be afraid to scrub them around, they will feel gritty due to all the salt. Fry the peels until they're very dark, they should be far too dark and salty to be edible.
Wash out the pan with hot water and dry it. Done.
It doesn't have to be any more complicated than that. It's the method used in professional kitchens, as far as I know.
Just fry up a full pan of very heavily salted potato peels. Use more oil and a lot more salt than you would normally use for pan frying. Make sure to move them around, don't be afraid to scrub them around, they will feel gritty due to all the salt. Fry the peels until they're very dark, they should be far too dark and salty to be edible.
Wash out the pan with hot water and dry it. Done.
It doesn't have to be any more complicated than that. It's the method used in professional kitchens, as far as I know.