I love this table runner and the matching napkins. I washed them on a hand wash setting as soon as I got them (they smelled like they had been on a slow fishing boat--I wish we could buy more beautiful linens Made in the USA).  They did wash nicely. I air-dried them, and I am perfectly happy with the way they look just finger-pressed. Someone who doesn't mind ironing might choose to press them, but I don't think it's necessary.
I can't wait to get out my Easter things. The table will look so pretty!