Yes, you will need to brush your hair when scalp cooling. Daily brushing is a really important part of scalp cooling haircare. It may feel counterintuitive to remove shedding hair, but it is essential that you remove any shed hairs as if they are left in place they can cause tangling and even matting. If you brush gently, it will liberate any shed hairs, and will not remove any hairs that wouldn't have shed anyway.
For more information on how to brush your hair click here