Freeze Fresh Herbs in Olive Oil This brilliant idea not only makes it easy to prepare dishes, but it insures that you always have fresh herbs, whether they are in season or not. Freezing the herbs in oil also prevents them from turning brown or getting that dreaded freezer burn. Throw them in pasta or potato dishes, stews, roasts, or use them for grilling onions, garlic, and other vegetables. 8 Steps for Freezing Herbs in Oil