I'm pretty sure dark star gets as big as regular zucchini plants in which case 2x2 will not be enough space. I dedicate a whole 4x4 box to zucchini plants as they get monstrous.

Here is a link I found, apparently they get bigger than regular zuke plants and produce more fruit as well.

Here is a link that might be useful: Dark Star

Oh yikes! Well, thanks for the info! I guess I will either make more space for it or plant something else there. :/ The raised bed I was going to put it in is only 3x4 (I only have two 3x4 beds, so no larger option). Right now I have radishes, beets, lettuce and spinach growing in the same bed I was planning to put the zuke. I think the beets are the longest to maturity (currently growing in 2 squares).

I bought the seeds last year and never planted it. Last year was my first year gardening and I bought the seeds before I had a plan. Ahh, what to do. I really wanted to plant zucchini this year but I guess I don't have the space even for a "regular" zuke plant. :(

I often grow my zucchini of a trellis to save space.