Given a finite commutative unital ring
S
having some non-zero elements
x
,
y
such that
x
.
y
=
0
, the elements of
S
that possess such property are called the zero divisors, denoted by
Z
S
. We can associate a graph to
S
with the help of zero-divisor set
Z
S
, denoted by
ζ
S
(called the zero-divisor graph), to study the algebraic properties of the ring
S
. In this research work, we aim to produce some general bounds for the edge version of metric dimension regarding zero-divisor graphs of
S
. To do so, we will discuss the zero-divisor graphs for the ring of integers
ℤ
m
modulo
m
, some quotient polynomial rings, and the ring of Gaussian integers
ℤ
m
i
modulo
m
. Then, we prove the general result for the bounds of edge metric dimension of zero-divisor graphs in terms of maximum degree and diameter of
ζ
S
. In the end, we provide the commutative rings with the same metric dimension, edge metric dimension, and upper dimension.