It would be done with difficulty. A typical way is to contain an oil spill with booms, and then burn it in situ, but those methods simply don't work if there's ice in the water. The ice interferes with them. You can't boom the area.
It really depends on ice conditions, which change from week to week and region to region. I can't make a sweeping generalization, but the presence of ice adds enormous complexity to containing the spill. As well, the coldness interferes with the effectiveness of dispersants.