Normal subgroup of Sylow subgroup is well-placed

Statement
Suppose $$G$$ is a finite group, $$p$$ is a prime number, and $$P$$ is a $$p$$-Sylow subgroup of $$G$$. Suppose $$N$$ is a normal subgroup of $$P$$. Suppose further that $$W$$ is a fact about::conjugacy functor on the $$p$$-subgroups of $$G$$. Then, $$N$$ is a fact about::well-placed subgroup of $$G$$ with respect to $$W$$.