Use a paper bag to help ripen them. Fold the bag over and keep this bag at room temperature until the apricots have softened a little. Keep out of direct light and the apricots should ripen within 2 – 3 days.
If you have citrus, keeping them near the citrus will do it, too…. I think because citrus tends to release more of the ethylene gas into the air? Paper bag will trap the apricot’s own ethylene, though, so that’ll work too!
Keep them in a plastic or paper bag (outside the fridge), and lock the bag however you may want to so the ethylene gas that they produce will be trapped and help it ripen. Add oranges, banannas or any other fruits to the bag for better ripeness