  In this work, we have considered $N (=4+d)$-dimensional Einstein field
equations in which 4-dimensional space-time which is described by a FRW metric
and that of the extra $d$-dimensions by an Euclidean metric. We have calculated
the corrections to statefinder parameters due to variable gravitational
constant $G$ in higher dimensional Cosmology. We have considered two special
cases whether dark energy and dark matter interact or not. In a universe where
gravitational constant is dynamic, the variable $G$-correction to statefinder
parameters is inevitable. The statefinder parameters are also obtained for
generalized Chaplygin gas in the effect of the variation of $G$ correction.
