I wouldn't prune them. They should turn green after a few days of light. I don't know if it is necessary but I would shade them from full sun for a few days.

Shade them,

I unintentionally let a potted white currant that was unexpectedly given to me sit in my garage for several days before planting which blanched the leaves.

When I planted it outside unprotected all of the leaves wilted then crisped.

I have trimmed them, and have left them on and slowly exposed to light. Both methods worked. All plants are growing fine now. This happens a lot to plants in the mail. Not a big deal. Even if you burn the leaves, the plant will recover. Plant it where you want it. If it is extremely sunny, shade it for part of the day, put a box over it, or better something to block the sun, increasing exposure with time. What would be ideal is a few days of overcast.

Just an update: I did as y'all said and slowly introduced the currants to the sun without doing any pruning. They've now completely greened up and are looking very happy.

Thanks folks!