Thus, yes, zero is a rational number, as it can be written in the form of $$\dfrac{p}{q}$$.
Since, $$0$$ (zero) is an integer thus, zero can be written in the form of $$\dfrac{p}{q}$$
Example : $$\dfrac{0}{1}$$, $$\dfrac{0}{2}$$, $$\dfrac{0}{3}$$, etc. where $$0$$ (zero) is an integer..