Washing Sezane

I recently purchased some Sezane clothing and wondering about care. I'm going to be honest, I just do not think I'm a handwash kinda gal. I have a bunch of kids and dogs and chores at home and I just do not see myself adding handwashing to that list. Do you think machine wash on cold in a delicates cycle and air drying would be okay? I don't mind a little shrinkage as they are all a bit oversized on me. This is what I bought:

Carter Jacket Trench (100% organic cotton fabric, 60% organic cotton/ 40% recycled polyester)

Loraine Top (50% organic cotton, 50% linen)

Noelie Cardigan (100% organic cotton)

Thanks for your help!