Actually, since we are having a mild kind of winter, it may still work out this year as long as you ground has not frozen or has thawed. Normally, we need to plant about a month before hard freeze/ground freezes so the garlic has a chance to establish some roots and even grow a short bit of green. In mild winter, with ground not frozen solid, garlic will have chance to grow a little bit and get a head start.
If daytime temp is in the 40's and up, it might be mild enough to plant.
Biggest issue, in fact, might be if your garden bed is soggy and wet, but you may be OK since we are talking about a raised bed.
I agree With imafan that you need to grow the correct variety for your area though. Grocery store garlic is often from a wrong region like Southern California for example. Did you get seed garlic bulbs In the fall or have gardening friends who can share some that they might have left over?
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