Apricots? In Minnesota?

Not usually. Some apricot trees are hardy here in zone 4. However, they seldom produce any fruits, and isn't that why we want them?. If you have luck with growing apricots, your tree is likely in a perfect little 'micro-climate' that few others will have. Apricot trees flower very early in the season, this is most of the problem. It is usually to cold when they are blooming for the bees to be out 'doing their thing' pollinating the flowers. Also, flowers can be ruined by a late season frost. Where I was last working, we had a couple of apricot trees for about 10 yrs., don't think I ever saw one! So re-think your plant order for apricots...and get apples, sour cherries, plums or pears instead.