Yep do the oil about half way up the side; maybe 1/2" deep max and cook about med-high (depending on the type of skillet) for 10-12 mins per side / flipping once (330 deg oil if you have a thermometer)
I think the prep will still work the same. Fry uncovered so get a splatter guard if you don't have one.
You can use a pasta pot, lobster pot, or dutch oven as a deep fryer too.