Dried, as the fresh ones are always tasteless. In the 'good old days' they were juicy! I soak a dried 1 over night, for my cereal every day, (along with all the other dried fruits I have in my little ex-mustard jars with the red lids!!)
Fresh, but they're only available for a short time each year here. I grow peachcots (cross between a peach and an apricot, looks like an apricot, tastes more like a peach), which are similar, but sweeter, less tangy, but we only have those for a week or so because I have to pick them before the fruit fly get to them.
I love fresh ones as they are are juicy and yummy to bite into. I largely use the dried ones because we all love apricots at our home and they are available during off season.Dried ones are also easier to pack as a healthy snack for family outings as they don't make a mess and are a mouthful.
Either way is fine. Although dried apricots seem tastier, fresh apricots have more vitamins and minerals. Perhaps when my "sweet tooth" mood strikes, I'd go for dried. When the health conscious me takes centre stage, I'd go for fresh ones.