My normal hair on the top of my head is growing back very slow and thin is this normal? I had FUE transplant 1 month ago.

Hair does change a bit after a hair transplant. I tell my patients not to pay much attention to changes in hair unless there is shock loss, something that can be prevented, see below

Hello, the remaining hair are probably at a shock loss stage, so they behave like transplanted hair, they will grow starting 2 months or so
Dr Amit