The value of acceleration due to gravity does not depend upon the mass of the falling body.

Acceleration due to gravity is given by:

$g=\frac{GM}{R^2}$

Where G is the gravitation constant, M is the mass of the planet and R is the radius of the planet.

As we can see, it depends only on the mass of the planet and not the mass of the object that is attracted to the planet.

Hence the given statement is true.